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Finding the Fourth Proportional to 171.49, 257.12 and 80.14

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Solution

The fourth proportional to 171.49, 257.12 and 80.14 is: 120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.49 : 257.12 = 80.14 : x
  2. Step 2: Convert to fraction form
    171.49/257.12 = 80.14/x
  3. Step 3: Cross multiply
    171.49x = 257.12 × 80.14
  4. Step 4: Simplify right side
    171.49x = 20,605.60
  5. Step 5: Solve for x
    x = 20,605.60/171.49
  6. Step 6: Final answer
    x = 120.16

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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.