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Finding the Fourth Proportional to 146.97, 220.24 and 81.96

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Solution

The fourth proportional to 146.97, 220.24 and 81.96 is: 122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.97 : 220.24 = 81.96 : x
  2. Step 2: Convert to fraction form
    146.97/220.24 = 81.96/x
  3. Step 3: Cross multiply
    146.97x = 220.24 × 81.96
  4. Step 4: Simplify right side
    146.97x = 18,051.80
  5. Step 5: Solve for x
    x = 18,051.80/146.97
  6. Step 6: Final answer
    x = 122.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.