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Finding the Fourth Proportional to 171.44, 257.24 and 106.43

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Solution

The fourth proportional to 171.44, 257.24 and 106.43 is: 159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.44 : 257.24 = 106.43 : x
  2. Step 2: Convert to fraction form
    171.44/257.24 = 106.43/x
  3. Step 3: Cross multiply
    171.44x = 257.24 × 106.43
  4. Step 4: Simplify right side
    171.44x = 27,377.62
  5. Step 5: Solve for x
    x = 27,377.62/171.44
  6. Step 6: Final answer
    x = 159.69

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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.