Finding the Fourth Proportional to 132.68, 199.01 and 71.84
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Solution
The fourth proportional to 132.68, 199.01 and 71.84 is: 107.75
Step by Step Solution
- Step 1: Write the proportion equation
132.68 : 199.01 = 71.84 : x - Step 2: Convert to fraction form
132.68/199.01 = 71.84/x - Step 3: Cross multiply
132.68x = 199.01 × 71.84 - Step 4: Simplify right side
132.68x = 14,296.06 - Step 5: Solve for x
x = 14,296.06/132.68 - Step 6: Final answer
x = 107.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.