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Finding the Fourth Proportional to 121.71, 167.38 and 97.11

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Solution

The fourth proportional to 121.71, 167.38 and 97.11 is: 133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.71 : 167.38 = 97.11 : x
  2. Step 2: Convert to fraction form
    121.71/167.38 = 97.11/x
  3. Step 3: Cross multiply
    121.71x = 167.38 × 97.11
  4. Step 4: Simplify right side
    121.71x = 16,253.43
  5. Step 5: Solve for x
    x = 16,253.43/121.71
  6. Step 6: Final answer
    x = 133.54

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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.