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Finding the Fourth Proportional to 81.73, 121.72 and 80.78

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Solution

The fourth proportional to 81.73, 121.72 and 80.78 is: 120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.73 : 121.72 = 80.78 : x
  2. Step 2: Convert to fraction form
    81.73/121.72 = 80.78/x
  3. Step 3: Cross multiply
    81.73x = 121.72 × 80.78
  4. Step 4: Simplify right side
    81.73x = 9,832.14
  5. Step 5: Solve for x
    x = 9,832.14/81.73
  6. Step 6: Final answer
    x = 120.31

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