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Finding the Fourth Proportional to 122.73, 169.32 and 81.32

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Solution

The fourth proportional to 122.73, 169.32 and 81.32 is: 112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.73 : 169.32 = 81.32 : x
  2. Step 2: Convert to fraction form
    122.73/169.32 = 81.32/x
  3. Step 3: Cross multiply
    122.73x = 169.32 × 81.32
  4. Step 4: Simplify right side
    122.73x = 13,768.26
  5. Step 5: Solve for x
    x = 13,768.26/122.73
  6. Step 6: Final answer
    x = 112.18

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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.