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Finding the Fourth Proportional to 99.92, 137.78 and 67.16

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Solution

The fourth proportional to 99.92, 137.78 and 67.16 is: 92.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.92 : 137.78 = 67.16 : x
  2. Step 2: Convert to fraction form
    99.92/137.78 = 67.16/x
  3. Step 3: Cross multiply
    99.92x = 137.78 × 67.16
  4. Step 4: Simplify right side
    99.92x = 9,253.30
  5. Step 5: Solve for x
    x = 9,253.30/99.92
  6. Step 6: Final answer
    x = 92.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.