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Finding the Fourth Proportional to 171.20, 256.80 and 107.12

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Solution

The fourth proportional to 171.20, 256.80 and 107.12 is: 160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.20 : 256.80 = 107.12 : x
  2. Step 2: Convert to fraction form
    171.20/256.80 = 107.12/x
  3. Step 3: Cross multiply
    171.20x = 256.80 × 107.12
  4. Step 4: Simplify right side
    171.20x = 27,508.42
  5. Step 5: Solve for x
    x = 27,508.42/171.20
  6. Step 6: Final answer
    x = 160.68

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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.