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Finding the Fourth Proportional to 81.62, 121.80 and 72.97

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Solution

The fourth proportional to 81.62, 121.80 and 72.97 is: 108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.62 : 121.80 = 72.97 : x
  2. Step 2: Convert to fraction form
    81.62/121.80 = 72.97/x
  3. Step 3: Cross multiply
    81.62x = 121.80 × 72.97
  4. Step 4: Simplify right side
    81.62x = 8,887.68
  5. Step 5: Solve for x
    x = 8,887.68/81.62
  6. Step 6: Final answer
    x = 108.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.