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Finding the Fourth Proportional to 80.76, 120.96 and 76.28

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Solution

The fourth proportional to 80.76, 120.96 and 76.28 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.76 : 120.96 = 76.28 : x
  2. Step 2: Convert to fraction form
    80.76/120.96 = 76.28/x
  3. Step 3: Cross multiply
    80.76x = 120.96 × 76.28
  4. Step 4: Simplify right side
    80.76x = 9,226.83
  5. Step 5: Solve for x
    x = 9,226.83/80.76
  6. Step 6: Final answer
    x = 114.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.