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Finding the Fourth Proportional to 87.34, 130.88 and 51.26

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Solution

The fourth proportional to 87.34, 130.88 and 51.26 is: 76.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.34 : 130.88 = 51.26 : x
  2. Step 2: Convert to fraction form
    87.34/130.88 = 51.26/x
  3. Step 3: Cross multiply
    87.34x = 130.88 × 51.26
  4. Step 4: Simplify right side
    87.34x = 6,708.91
  5. Step 5: Solve for x
    x = 6,708.91/87.34
  6. Step 6: Final answer
    x = 76.81

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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.