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Finding the Fourth Proportional to 92.53, 138.16 and 91.86

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Solution

The fourth proportional to 92.53, 138.16 and 91.86 is: 137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.53 : 138.16 = 91.86 : x
  2. Step 2: Convert to fraction form
    92.53/138.16 = 91.86/x
  3. Step 3: Cross multiply
    92.53x = 138.16 × 91.86
  4. Step 4: Simplify right side
    92.53x = 12,691.38
  5. Step 5: Solve for x
    x = 12,691.38/92.53
  6. Step 6: Final answer
    x = 137.16

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Why These Related Problems?

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