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Finding the Fourth Proportional to 171.32, 257.01 and 75.14

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Solution

The fourth proportional to 171.32, 257.01 and 75.14 is: 112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.32 : 257.01 = 75.14 : x
  2. Step 2: Convert to fraction form
    171.32/257.01 = 75.14/x
  3. Step 3: Cross multiply
    171.32x = 257.01 × 75.14
  4. Step 4: Simplify right side
    171.32x = 19,311.73
  5. Step 5: Solve for x
    x = 19,311.73/171.32
  6. Step 6: Final answer
    x = 112.72

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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.