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Finding the Fourth Proportional to 120.42, 166.17 and 76.75

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Solution

The fourth proportional to 120.42, 166.17 and 76.75 is: 105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.42 : 166.17 = 76.75 : x
  2. Step 2: Convert to fraction form
    120.42/166.17 = 76.75/x
  3. Step 3: Cross multiply
    120.42x = 166.17 × 76.75
  4. Step 4: Simplify right side
    120.42x = 12,753.55
  5. Step 5: Solve for x
    x = 12,753.55/120.42
  6. Step 6: Final answer
    x = 105.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.