Finding the Fourth Proportional to 75.08, 102.96 and 74.90
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Solution
The fourth proportional to 75.08, 102.96 and 74.90 is: 102.71
Step by Step Solution
- Step 1: Write the proportion equation
75.08 : 102.96 = 74.90 : x - Step 2: Convert to fraction form
75.08/102.96 = 74.90/x - Step 3: Cross multiply
75.08x = 102.96 × 74.90 - Step 4: Simplify right side
75.08x = 7,711.70 - Step 5: Solve for x
x = 7,711.70/75.08 - Step 6: Final answer
x = 102.71
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.