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Finding the Fourth Proportional to 121.10, 167.13 and 76.85

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Solution

The fourth proportional to 121.10, 167.13 and 76.85 is: 106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.10 : 167.13 = 76.85 : x
  2. Step 2: Convert to fraction form
    121.10/167.13 = 76.85/x
  3. Step 3: Cross multiply
    121.10x = 167.13 × 76.85
  4. Step 4: Simplify right side
    121.10x = 12,843.73
  5. Step 5: Solve for x
    x = 12,843.73/121.10
  6. Step 6: Final answer
    x = 106.06

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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.