Answer :
The amount of medicine required by patient weighing 174 pounds is equal to 189 mg.
What is a proportion?
A proportion is a fraction of the total amount, and the measures are related using a rule of three.
The relations between variables, are direct or inverse proportional, can be built to find the desired measures in the problem.
WE are given that a patient weighing 116 pounds requires 126 milligrams of medicine.
Then we would make a proportion
116/126=174/x
Then cross multiply
116x=21924
Now Divide;
x = 189 milligrams of medicine
Hence, the amount of medicine required by patient weighing 174 pounds is 189 mg.
More can be learned about proportions at;
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You would make a proportion
116/126=174/x
Then cross multiply
116x=21924
Divide
189 milligrams of medicine
116/126=174/x
Then cross multiply
116x=21924
Divide
189 milligrams of medicine