Answer: 166 milligrams
Step-by-step explanation:
Given : A certain medicine is given in an amount proportional to a patient's body weight.
A patient weighing 153 pounds requires 249 milligrams of medicine.
Let x be the amount of medicine required by a patient weighing 102 pounds, then we have the following equation:-
\(\dfrac{x}{102}=\dfrac{249}{153}\\\\\Rightarrow\ x=\dfrac{249\times102}{153}=166\)
Hence, the amount of medicine required by a patient weighing 102 pounds = 166 milligrams.
