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Finding the Fourth Proportional to 81.73, 122.73 and 47.44

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Solution

The fourth proportional to 81.73, 122.73 and 47.44 is: 71.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.73 : 122.73 = 47.44 : x
  2. Step 2: Convert to fraction form
    81.73/122.73 = 47.44/x
  3. Step 3: Cross multiply
    81.73x = 122.73 × 47.44
  4. Step 4: Simplify right side
    81.73x = 5,822.31
  5. Step 5: Solve for x
    x = 5,822.31/81.73
  6. Step 6: Final answer
    x = 71.24

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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.