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Finding the Fourth Proportional to 121.29, 167.12 and 116.83

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Solution

The fourth proportional to 121.29, 167.12 and 116.83 is: 160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.29 : 167.12 = 116.83 : x
  2. Step 2: Convert to fraction form
    121.29/167.12 = 116.83/x
  3. Step 3: Cross multiply
    121.29x = 167.12 × 116.83
  4. Step 4: Simplify right side
    121.29x = 19,524.63
  5. Step 5: Solve for x
    x = 19,524.63/121.29
  6. Step 6: Final answer
    x = 160.97

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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.