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Finding the Fourth Proportional to 121.38, 167.38 and 82

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Solution

The fourth proportional to 121.38, 167.38 and 82 is: 113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.38 : 167.38 = 82 : x
  2. Step 2: Convert to fraction form
    121.38/167.38 = 82/x
  3. Step 3: Cross multiply
    121.38x = 167.38 × 82
  4. Step 4: Simplify right side
    121.38x = 13,725.16
  5. Step 5: Solve for x
    x = 13,725.16/121.38
  6. Step 6: Final answer
    x = 113.08

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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.