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Finding the Fourth Proportional to 121.80, 167.88 and 82.92

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Solution

The fourth proportional to 121.80, 167.88 and 82.92 is: 114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.80 : 167.88 = 82.92 : x
  2. Step 2: Convert to fraction form
    121.80/167.88 = 82.92/x
  3. Step 3: Cross multiply
    121.80x = 167.88 × 82.92
  4. Step 4: Simplify right side
    121.80x = 13,920.61
  5. Step 5: Solve for x
    x = 13,920.61/121.80
  6. Step 6: Final answer
    x = 114.29

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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.