Loose skin usually happens because of sudden weight loss and especially when you lose a big amount of it. But it still depends on every person. In your case, there is a big chance of not having loose skin.
There are certain types of diet where you can avoid having loose skin. But most of the times, plastic surgery is the answer to loose and sagging skin. Patients even go to countries outside the US for a more affordable plastic surgery but with the same high quality.
I suggest you better continue losing weight and be healthy than being afraid of loose skin. Anyways, you'll never know if you'll have loose skin if you never try.