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Finding the Fourth Proportional to 171.14, 256.70 and 83.25

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Solution

The fourth proportional to 171.14, 256.70 and 83.25 is: 124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.14 : 256.70 = 83.25 : x
  2. Step 2: Convert to fraction form
    171.14/256.70 = 83.25/x
  3. Step 3: Cross multiply
    171.14x = 256.70 × 83.25
  4. Step 4: Simplify right side
    171.14x = 21,369.86
  5. Step 5: Solve for x
    x = 21,369.86/171.14
  6. Step 6: Final answer
    x = 124.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.