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Finding the Fourth Proportional to 167.27, 230.75 and 104.29

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Solution

The fourth proportional to 167.27, 230.75 and 104.29 is: 143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.27 : 230.75 = 104.29 : x
  2. Step 2: Convert to fraction form
    167.27/230.75 = 104.29/x
  3. Step 3: Cross multiply
    167.27x = 230.75 × 104.29
  4. Step 4: Simplify right side
    167.27x = 24,064.21
  5. Step 5: Solve for x
    x = 24,064.21/167.27
  6. Step 6: Final answer
    x = 143.87

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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.