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Finding the Fourth Proportional to 87.34, 130.70 and 81.42

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Solution

The fourth proportional to 87.34, 130.70 and 81.42 is: 121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.34 : 130.70 = 81.42 : x
  2. Step 2: Convert to fraction form
    87.34/130.70 = 81.42/x
  3. Step 3: Cross multiply
    87.34x = 130.70 × 81.42
  4. Step 4: Simplify right side
    87.34x = 10,641.59
  5. Step 5: Solve for x
    x = 10,641.59/87.34
  6. Step 6: Final answer
    x = 121.84

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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.