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Finding the Fourth Proportional to 80.68, 120.45 and 75.79

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Solution

The fourth proportional to 80.68, 120.45 and 75.79 is: 113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.68 : 120.45 = 75.79 : x
  2. Step 2: Convert to fraction form
    80.68/120.45 = 75.79/x
  3. Step 3: Cross multiply
    80.68x = 120.45 × 75.79
  4. Step 4: Simplify right side
    80.68x = 9,128.91
  5. Step 5: Solve for x
    x = 9,128.91/80.68
  6. Step 6: Final answer
    x = 113.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.