Finding the Fourth Proportional to 110.12, 164.92 and 87.14
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Solution
The fourth proportional to 110.12, 164.92 and 87.14 is: 130.50
Step by Step Solution
- Step 1: Write the proportion equation
110.12 : 164.92 = 87.14 : x - Step 2: Convert to fraction form
110.12/164.92 = 87.14/x - Step 3: Cross multiply
110.12x = 164.92 × 87.14 - Step 4: Simplify right side
110.12x = 14,371.13 - Step 5: Solve for x
x = 14,371.13/110.12 - Step 6: Final answer
x = 130.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.