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Finding the Fourth Proportional to 122.92, 169.42 and 102.27

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Solution

The fourth proportional to 122.92, 169.42 and 102.27 is: 140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.92 : 169.42 = 102.27 : x
  2. Step 2: Convert to fraction form
    122.92/169.42 = 102.27/x
  3. Step 3: Cross multiply
    122.92x = 169.42 × 102.27
  4. Step 4: Simplify right side
    122.92x = 17,326.58
  5. Step 5: Solve for x
    x = 17,326.58/122.92
  6. Step 6: Final answer
    x = 140.96

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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.