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Finding the Fourth Proportional to 171.49, 257.32 and 80.16

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Solution

The fourth proportional to 171.49, 257.32 and 80.16 is: 120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.49 : 257.32 = 80.16 : x
  2. Step 2: Convert to fraction form
    171.49/257.32 = 80.16/x
  3. Step 3: Cross multiply
    171.49x = 257.32 × 80.16
  4. Step 4: Simplify right side
    171.49x = 20,626.77
  5. Step 5: Solve for x
    x = 20,626.77/171.49
  6. Step 6: Final answer
    x = 120.28

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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.