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Finding the Fourth Proportional to 81.53, 122.39 and 74.44

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Solution

The fourth proportional to 81.53, 122.39 and 74.44 is: 111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.53 : 122.39 = 74.44 : x
  2. Step 2: Convert to fraction form
    81.53/122.39 = 74.44/x
  3. Step 3: Cross multiply
    81.53x = 122.39 × 74.44
  4. Step 4: Simplify right side
    81.53x = 9,110.71
  5. Step 5: Solve for x
    x = 9,110.71/81.53
  6. Step 6: Final answer
    x = 111.75

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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.