Cooling duct does not fit case. Do I need an adapter?



No, one side is connected to the back of the case and the other side doesn't connect to anything. Think of it as an exhaust pipe on a car. I'm just redirecting the hot air being blown out the back of my case with this duct work.

The cpu has nothing to do with it in this application.
 
Currently my computer case is in the cabinet. The cabinet fills with hot air and this air duct will redirect the exhaust out of the cabinet instead and the computer will stop overheating.

So top attach this do I need some sort of 90mm to 80mm adapter?