Step 1 :The logistic growth function \(P(x)=\frac{90}{1+271 e^{-0.122 x}}\) models the percentage, \(P(x)\), of Americans who are \(x\) years old and have some coronary heart disease.
Step 2 :We are asked to find the percentage of 41-year olds who have some coronary heart disease. This can be found by substituting \(x=41\) into the logistic growth function \(P(x)\) and calculating the result.
Step 3 :After calculation, we find that the percentage is approximately 31.9%.
Step 4 :So, the percentage of 41-year olds who have some coronary heart disease is approximately \(\boxed{31.9\%}\).