Those dimensions that Adam gives in his book are just rough recommendations. If you use "too" thick horn, what are the worst things that could happen? The mass of the bow would be 20 grams too much, or little bit more unstable. As horn has less bend resistance than wood, there is really no fear of the bow coming overweight. With nice thickness horn of 4-5mm you have plenty of room for tillering and also the bow will hold reflex better.
Assuming the limbs are properly tapered and shape is nothing extreme, the sal thickness will tell you the final weight. 120cm #45 bow i would make the core about 8mm thickness in sal parts, 110cm #45 bow i would make 7mm. After this by giving the bow a plenty safe amount of sinew, 100g, would raise the thickness from 8mm -> 10mm and 7mm ->9mm.
These are just estimates, i haven't made a 45 pound bow yet.
I would throw that 1:1:1 rule to the dumbster.
One reason is because the originals were done with 60 grams of sinew... There is a huge variation in the portions anyway, crab bows used couple of millimeters of horn, some turkish bows have even 8mm.