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Finding the Fourth Proportional to 167.38, 230.86 and 101.83

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Solution

The fourth proportional to 167.38, 230.86 and 101.83 is: 140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.38 : 230.86 = 101.83 : x
  2. Step 2: Convert to fraction form
    167.38/230.86 = 101.83/x
  3. Step 3: Cross multiply
    167.38x = 230.86 × 101.83
  4. Step 4: Simplify right side
    167.38x = 23,508.47
  5. Step 5: Solve for x
    x = 23,508.47/167.38
  6. Step 6: Final answer
    x = 140.45

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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.