good job!!!!.....
Just be sure that your goal is realistic.....I agree that your 110 lbs is realistic but the size 3???? Even when I weighed 100, I wore a size 4 & the size 3 was a tight squeeze. Given that I have battled with anorexia in the past, I have been at a lot lower weights than that. It also totally depends on the brand or the maker of the cloths as to the sizing.....a friend gave me a size 0 legging for Christmas.....I chuckled until I tried them on & they fit

......so sizing does depend on the maker & the style.
It's good to have a weight & a BMI goal.....just KNOW that sizing will vary. The nice thing is that the size 4 covers a wide range of weight gain & loss for me.
You are doing such a good thing for yourself with the focus & working toward your goal in a logical way.....very proud of you!!!!
As Artchic said.....slow & reasonable. Sometimes when we see weight starting to come off, it's easy to get caught up & want it to come off quicker.....but the body needs time to adjust & sometimes we reach a plateau & feel stuck....that's just the body adjusting & the weight loss will continue with patience