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Finding the Fourth Proportional to 171.31, 257.31 and 102.97

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Solution

The fourth proportional to 171.31, 257.31 and 102.97 is: 154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.31 : 257.31 = 102.97 : x
  2. Step 2: Convert to fraction form
    171.31/257.31 = 102.97/x
  3. Step 3: Cross multiply
    171.31x = 257.31 × 102.97
  4. Step 4: Simplify right side
    171.31x = 26,495.21
  5. Step 5: Solve for x
    x = 26,495.21/171.31
  6. Step 6: Final answer
    x = 154.66

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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.