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Finding the Fourth Proportional to 171.54, 257.09 and 80.10

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Solution

The fourth proportional to 171.54, 257.09 and 80.10 is: 120.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.54 : 257.09 = 80.10 : x
  2. Step 2: Convert to fraction form
    171.54/257.09 = 80.10/x
  3. Step 3: Cross multiply
    171.54x = 257.09 × 80.10
  4. Step 4: Simplify right side
    171.54x = 20,592.51
  5. Step 5: Solve for x
    x = 20,592.51/171.54
  6. Step 6: Final answer
    x = 120.04

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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.