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Finding the Fourth Proportional to 80.97, 121.38 and 71.97

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Solution

The fourth proportional to 80.97, 121.38 and 71.97 is: 107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.97 : 121.38 = 71.97 : x
  2. Step 2: Convert to fraction form
    80.97/121.38 = 71.97/x
  3. Step 3: Cross multiply
    80.97x = 121.38 × 71.97
  4. Step 4: Simplify right side
    80.97x = 8,735.72
  5. Step 5: Solve for x
    x = 8,735.72/80.97
  6. Step 6: Final answer
    x = 107.89

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