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Finding the Fourth Proportional to 80.40, 120.46 and 76.72

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Solution

The fourth proportional to 80.40, 120.46 and 76.72 is: 114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.40 : 120.46 = 76.72 : x
  2. Step 2: Convert to fraction form
    80.40/120.46 = 76.72/x
  3. Step 3: Cross multiply
    80.40x = 120.46 × 76.72
  4. Step 4: Simplify right side
    80.40x = 9,241.69
  5. Step 5: Solve for x
    x = 9,241.69/80.40
  6. Step 6: Final answer
    x = 114.95

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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.