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Finding the Fourth Proportional to 121.76, 167.78 and 82.88

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Solution

The fourth proportional to 121.76, 167.78 and 82.88 is: 114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.76 : 167.78 = 82.88 : x
  2. Step 2: Convert to fraction form
    121.76/167.78 = 82.88/x
  3. Step 3: Cross multiply
    121.76x = 167.78 × 82.88
  4. Step 4: Simplify right side
    121.76x = 13,905.61
  5. Step 5: Solve for x
    x = 13,905.61/121.76
  6. Step 6: Final answer
    x = 114.21

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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.