When looking at a specific website I can, of course, use WHOIS to find who the server/host is for that website.
But:
Is it possible to find out if that website has a dedicated IP address with that server? If so, how do I do it?

You can go to www.whois.sc and when you search for a domain, see how many websites that server hosts. If it's 1, then it's possible that it's dedicated, but then again there could only be one website on that server.

Also, if there's an SSL cert. on a website (private), then they are using a dedicated IP.

Why do you need to find this out?

Thanks webfreak.
My reason is this:
I am studying my competition.
My website is geographically oriented serving 26 cities, each city with its own pages. All of my cities are located on my one website--they are not separate domains.
My largest competitor, in the fact the biggiest in my industry, also has many cities.
I have checked WHOIS and find that they are all with the same server, and each is a SEPARATE domain, but I want to know if each of those cities has its own dedicated IP address.
This will effect my decision as to whether I should, not only break out off of my cities into separate domains, but whether they should each of its own dedicated IP address.
How I can find out if my competitor's cities all have dedicated IP addresses is still a mystery to me.

There's very few reasons why you'd actually require a dedicated IP address. Seperate domains or subdomains of your domain should be fine.