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Finding the Fourth Proportional to 81.48, 122.38 and 76.20

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Solution

The fourth proportional to 81.48, 122.38 and 76.20 is: 114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.48 : 122.38 = 76.20 : x
  2. Step 2: Convert to fraction form
    81.48/122.38 = 76.20/x
  3. Step 3: Cross multiply
    81.48x = 122.38 × 76.20
  4. Step 4: Simplify right side
    81.48x = 9,325.36
  5. Step 5: Solve for x
    x = 9,325.36/81.48
  6. Step 6: Final answer
    x = 114.45

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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.