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Finding the Fourth Proportional to 121.76, 168.09 and 82.43

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Solution

The fourth proportional to 121.76, 168.09 and 82.43 is: 113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.76 : 168.09 = 82.43 : x
  2. Step 2: Convert to fraction form
    121.76/168.09 = 82.43/x
  3. Step 3: Cross multiply
    121.76x = 168.09 × 82.43
  4. Step 4: Simplify right side
    121.76x = 13,854.82
  5. Step 5: Solve for x
    x = 13,854.82/121.76
  6. Step 6: Final answer
    x = 113.79

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