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Finding the Fourth Proportional to 92.55, 137.85 and 87.87

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Solution

The fourth proportional to 92.55, 137.85 and 87.87 is: 130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.55 : 137.85 = 87.87 : x
  2. Step 2: Convert to fraction form
    92.55/137.85 = 87.87/x
  3. Step 3: Cross multiply
    92.55x = 137.85 × 87.87
  4. Step 4: Simplify right side
    92.55x = 12,111.97
  5. Step 5: Solve for x
    x = 12,111.97/92.55
  6. Step 6: Final answer
    x = 130.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.