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Finding the Fourth Proportional to 80.46, 120.42 and 49.92

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Solution

The fourth proportional to 80.46, 120.42 and 49.92 is: 74.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.46 : 120.42 = 49.92 : x
  2. Step 2: Convert to fraction form
    80.46/120.42 = 49.92/x
  3. Step 3: Cross multiply
    80.46x = 120.42 × 49.92
  4. Step 4: Simplify right side
    80.46x = 6,011.37
  5. Step 5: Solve for x
    x = 6,011.37/80.46
  6. Step 6: Final answer
    x = 74.71

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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.