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Finding the Fourth Proportional to 171.92, 237.26 and 106.38

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Solution

The fourth proportional to 171.92, 237.26 and 106.38 is: 146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.92 : 237.26 = 106.38 : x
  2. Step 2: Convert to fraction form
    171.92/237.26 = 106.38/x
  3. Step 3: Cross multiply
    171.92x = 237.26 × 106.38
  4. Step 4: Simplify right side
    171.92x = 25,239.72
  5. Step 5: Solve for x
    x = 25,239.72/171.92
  6. Step 6: Final answer
    x = 146.81

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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.