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Finding the Fourth Proportional to 171.50, 257.43 and 106.57

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Solution

The fourth proportional to 171.50, 257.43 and 106.57 is: 159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.50 : 257.43 = 106.57 : x
  2. Step 2: Convert to fraction form
    171.50/257.43 = 106.57/x
  3. Step 3: Cross multiply
    171.50x = 257.43 × 106.57
  4. Step 4: Simplify right side
    171.50x = 27,433.03
  5. Step 5: Solve for x
    x = 27,433.03/171.50
  6. Step 6: Final answer
    x = 159.96

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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.