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Finding the Fourth Proportional to 122.67, 169.31 and 72.89

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Solution

The fourth proportional to 122.67, 169.31 and 72.89 is: 100.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.67 : 169.31 = 72.89 : x
  2. Step 2: Convert to fraction form
    122.67/169.31 = 72.89/x
  3. Step 3: Cross multiply
    122.67x = 169.31 × 72.89
  4. Step 4: Simplify right side
    122.67x = 12,340.70
  5. Step 5: Solve for x
    x = 12,340.70/122.67
  6. Step 6: Final answer
    x = 100.60

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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.