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Finding the Fourth Proportional to 87.76, 132.46 and 87.76

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Solution

The fourth proportional to 87.76, 132.46 and 87.76 is: 132.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.76 : 132.46 = 87.76 : x
  2. Step 2: Convert to fraction form
    87.76/132.46 = 87.76/x
  3. Step 3: Cross multiply
    87.76x = 132.46 × 87.76
  4. Step 4: Simplify right side
    87.76x = 11,624.69
  5. Step 5: Solve for x
    x = 11,624.69/87.76
  6. Step 6: Final answer
    x = 132.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.