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Finding the Fourth Proportional to 87.80, 131.70 and 74.30

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Solution

The fourth proportional to 87.80, 131.70 and 74.30 is: 111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.80 : 131.70 = 74.30 : x
  2. Step 2: Convert to fraction form
    87.80/131.70 = 74.30/x
  3. Step 3: Cross multiply
    87.80x = 131.70 × 74.30
  4. Step 4: Simplify right side
    87.80x = 9,785.31
  5. Step 5: Solve for x
    x = 9,785.31/87.80
  6. Step 6: Final answer
    x = 111.45

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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.