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Finding the Fourth Proportional to 87.58, 130.66 and 74.14

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Solution

The fourth proportional to 87.58, 130.66 and 74.14 is: 110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.58 : 130.66 = 74.14 : x
  2. Step 2: Convert to fraction form
    87.58/130.66 = 74.14/x
  3. Step 3: Cross multiply
    87.58x = 130.66 × 74.14
  4. Step 4: Simplify right side
    87.58x = 9,687.13
  5. Step 5: Solve for x
    x = 9,687.13/87.58
  6. Step 6: Final answer
    x = 110.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.