On Sun, 6 Sep 1998, Lord Archive wrote:

Hmmm... Interesting, and what a cast of suspects and possible motives:

(In no particular order. Note some motives are flimsy, but are possible
considering who it is.)

Ranma: Motive 1- Had it with the tug of war between the girls. He gives
them one moment of pleasure then offs them. Motive 2- Gets all warmed up
by either Shampoo or Kodachi and engages into some... activities. When
she threaten to tell Akane, fear and possibly rage causes him to kill
her. The sexual act brings out a need in Ranma that he repeats with
other girls.

You forgot the most obvious.  

Hatred of his cursed form.  The curse just caused him to snap.  Each time
he kills a woman, it's to kill his girl-side.

-Lord Archive

-- Nick