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Finding the Fourth Proportional to 81.60, 122.76 and 61.44

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Solution

The fourth proportional to 81.60, 122.76 and 61.44 is: 92.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.60 : 122.76 = 61.44 : x
  2. Step 2: Convert to fraction form
    81.60/122.76 = 61.44/x
  3. Step 3: Cross multiply
    81.60x = 122.76 × 61.44
  4. Step 4: Simplify right side
    81.60x = 7,542.37
  5. Step 5: Solve for x
    x = 7,542.37/81.60
  6. Step 6: Final answer
    x = 92.43

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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.