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Finding the Fourth Proportional to 111.38, 167.09 and 39.23

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Solution

The fourth proportional to 111.38, 167.09 and 39.23 is: 58.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.38 : 167.09 = 39.23 : x
  2. Step 2: Convert to fraction form
    111.38/167.09 = 39.23/x
  3. Step 3: Cross multiply
    111.38x = 167.09 × 39.23
  4. Step 4: Simplify right side
    111.38x = 6,555.59
  5. Step 5: Solve for x
    x = 6,555.59/111.38
  6. Step 6: Final answer
    x = 58.86

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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.