Kyo has observed the improvement in Ranma and Akane's treatment of each other but he has not given up on Akane. He will keep trying to be with Akane and make her change her mind about Ranma. So when Furinkan High was scheduled to have a math competition with another high school, Kyo was quick to volunteer himself and Akane as the school representatives. The teacher agreed to this proposal much to Ranma's frustration. This meant Akane and Kyo would have to practice and prepare for the competition and Ranma did not like this one bit but he had no choice.
So for one week, Ranma waited every night for Akane to get home from her study session with Kyo. During this time, Kyo tried his best to talk about Ranma and his behavior with his other fiancées but Akane didn't want to discuss it. He was hoping that he can remind Akane of how shameful Ranma acts around the other girls but when that didn't work he changed his strategy and offered to walk Akane home on their last night of studying. Kyo was hoping to show her how well she can be treated in contrast to the way Ranma has treated her in the past. Akane would have preferred to walk home alone as she did not want Ranma to see Kyo but Kyo insisted and was not surprised to find Ranma waiting at the gate of the Tendo residence.
"Hello Ranma"
Although Ranma was clearly irritated, he remained polite. "Hello Kyo, thank you for bringing Akane home."
"It was my pleasure to do so, good night Akane."
"Good night Kyo"
Akane headed inside the house while Ranma stayed behind to have a talk with Kyo.
"Listen Kyo, I know what you are doing and it won't work. Leave Akane alone before I lose my patience with you. You have not asked her out since our last conversation but I know that you have something up your sleeve and I am warning you, stay away from Akane or so help me I will break every bone in your body."
"I will not ask Akane out as she has made it perfectly clear that she is not available however you cannot blame a guy for trying to show her that she deserves better. You have treated her badly, by calling her names, insulting her and making her cry. What right do you have to insist on being her fiancée when all you do is hurt her? I am merely showing Akane that she is worth more than your treatment of her and maybe she'll soon see the light and break up with you. If you do not change your ways, you will lose her. She is too good for you."
"You're right, maybe I don't deserve her but she is still my fiancée and so long as she will have me I will continue to fight for her. Anyone who wants to challenge me is welcome to try but I assure you it will be difficult. I will not give her up easily. Stronger and better men than you have tried to take her away from me, and all of them have failed. Now if I were you I would leave now before I decide to show you the meaning of pain."
Kyo didn't doubt that Ranma was serious with his threat and decided to call it a night. He was glad to know that Ranma is serious about his engagement to Akane. She deserves the best and Ranma's actions of late have shown Kyo that maybe there's hope for Ranma yet. He suspected that Ranma may have feelings for Akane but until tonight he wasn't sure to what degree Ranma cared for her. He may have failed to capture Akane's heart but he can be a good friend to her by forcing Ranma to re-evaluate his feelings and behavior towards Akane. Kyo is convinced that Akane loves Ranma and it's only a matter of getting Ranma to demonstrate his feelings for Akane. He just hopes he doesn't end up getting himself killed in the process. He has heard of Ranma's skill and on some occasion seen it first hand and he would hate to be on the receiving end of those fists.