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Finding the Fourth Proportional to 171.38, 236.56 and 102.38

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Solution

The fourth proportional to 171.38, 236.56 and 102.38 is: 141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.38 : 236.56 = 102.38 : x
  2. Step 2: Convert to fraction form
    171.38/236.56 = 102.38/x
  3. Step 3: Cross multiply
    171.38x = 236.56 × 102.38
  4. Step 4: Simplify right side
    171.38x = 24,217.57
  5. Step 5: Solve for x
    x = 24,217.57/171.38
  6. Step 6: Final answer
    x = 141.31

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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.