It's not logic, it's the way engines work and it's basic thermodynamics. No one is sticking 20 psi to a 90 hp engine and making over 400 hp.
Engines are air pumps. A naturally aspirated engine makes its power at a 14.7 psi absolute at sea level. This changes marginally based on ambient conditions but for the sake of discussion, 14.7 will do nicely.
Every 14.7 psi above that gains a whole number multiplier to the amount of air that an engine can process (14.7 psi boost = 2x naturally aspirated, 29.4 psi = 3x naturally aspirated, etc). The efficiency of the turbo plays into that in that heating the air causes the amount of total air mass the engine processes to decrease. Positive pressure causes a further loss of power by decreasing the amount of timing an engine can use in order to prevent autoignition. You can never make power at a rate great than the pressure ratio multiplier.
A little reading on the subject, Corky Bell's "Maximum Boost" is an excellent book on turbo systems and how they work. Or here's Garrett's take on it -
http://www.turbobygarrett.com/turbobygarrett/tech_center/turbo_tech103.html
Let me caveat that and say that I'm assuming you're starting with a proprely tuned naturally aspirated motor and finishing with a properly tuned boosted motor. If you have some crappy, no timing, too rich tune on a naturally aspirated combo because you pulled a turbo off of it and didn't bother to dial it in, you could definitely blow the whole "rule of thumb."