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Finding the Fourth Proportional to 121.12, 167.06 and 77.42

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Solution

The fourth proportional to 121.12, 167.06 and 77.42 is: 106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.12 : 167.06 = 77.42 : x
  2. Step 2: Convert to fraction form
    121.12/167.06 = 77.42/x
  3. Step 3: Cross multiply
    121.12x = 167.06 × 77.42
  4. Step 4: Simplify right side
    121.12x = 12,933.79
  5. Step 5: Solve for x
    x = 12,933.79/121.12
  6. Step 6: Final answer
    x = 106.78

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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.