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Finding the Fourth Proportional to 87.35, 130.76 and 68.15

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Solution

The fourth proportional to 87.35, 130.76 and 68.15 is: 102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.35 : 130.76 = 68.15 : x
  2. Step 2: Convert to fraction form
    87.35/130.76 = 68.15/x
  3. Step 3: Cross multiply
    87.35x = 130.76 × 68.15
  4. Step 4: Simplify right side
    87.35x = 8,911.28
  5. Step 5: Solve for x
    x = 8,911.28/87.35
  6. Step 6: Final answer
    x = 102.02

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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.