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Finding the Fourth Proportional to 111.78, 167.46 and 82.92

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Solution

The fourth proportional to 111.78, 167.46 and 82.92 is: 124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.78 : 167.46 = 82.92 : x
  2. Step 2: Convert to fraction form
    111.78/167.46 = 82.92/x
  3. Step 3: Cross multiply
    111.78x = 167.46 × 82.92
  4. Step 4: Simplify right side
    111.78x = 13,885.78
  5. Step 5: Solve for x
    x = 13,885.78/111.78
  6. Step 6: Final answer
    x = 124.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.