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Finding the Fourth Proportional to 81.28, 121.46 and 78.04

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Solution

The fourth proportional to 81.28, 121.46 and 78.04 is: 116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.28 : 121.46 = 78.04 : x
  2. Step 2: Convert to fraction form
    81.28/121.46 = 78.04/x
  3. Step 3: Cross multiply
    81.28x = 121.46 × 78.04
  4. Step 4: Simplify right side
    81.28x = 9,478.74
  5. Step 5: Solve for x
    x = 9,478.74/81.28
  6. Step 6: Final answer
    x = 116.62

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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.