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Finding the Fourth Proportional to 122.73, 169.39 and 81.29

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Solution

The fourth proportional to 122.73, 169.39 and 81.29 is: 112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.73 : 169.39 = 81.29 : x
  2. Step 2: Convert to fraction form
    122.73/169.39 = 81.29/x
  3. Step 3: Cross multiply
    122.73x = 169.39 × 81.29
  4. Step 4: Simplify right side
    122.73x = 13,769.71
  5. Step 5: Solve for x
    x = 13,769.71/122.73
  6. Step 6: Final answer
    x = 112.20

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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.