If a patient requires 75 mg of a medication that is available at 100 mg per ml, how is it represented in a proportion?

The correct answer utilizes a fundamental concept in proportions, where two ratios are set equal to one another. In this case, the proportion is structured to determine the volume of medication required to achieve a specific dosage.

In the provided scenario, the concentration of the medication is 100 mg per 1 ml. To find out how many milliliters will contain 75 mg, we set up a proportion relating the known concentration to the desired amount. The equation 100 mg/1 ml = 75 mg/X ml correctly represents this scenario, where we are solving for X, the volume in ml that would contain the required 75 mg of the medication.

This setup effectively maintains the relationship between the quantity of the active ingredient and the volume of the solution in which it's contained, allowing for a clear determination of how much of the solution is necessary to reach the desired dosage. By cross-multiplying and solving the proportion, one can find X and thus determine the proper amount of the medication to administer.