Auto Populate a 'page' with a 'post'?

What I’m looking for is a way to auto populate a “page” with a link to a “post” when it is in a specific category.

Example

I make a post
Title – New farm machine available!
Body – We have finished the new machine, to check out out please click read more!
Category – Machines, farm, 2012, MachinePage,

I would like anything in the “MachinePage”category to AUTOMATICALLY be added to the “Machine Page”
so upon posting this, if you go to the page, you will see

Page
New Farm Machine Available!
post before that
and before that
ect….

Is something like this possible?