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Finding the Fourth Proportional to 171.04, 256.08 and 125.04

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Solution

The fourth proportional to 171.04, 256.08 and 125.04 is: 187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.04 : 256.08 = 125.04 : x
  2. Step 2: Convert to fraction form
    171.04/256.08 = 125.04/x
  3. Step 3: Cross multiply
    171.04x = 256.08 × 125.04
  4. Step 4: Simplify right side
    171.04x = 32,020.24
  5. Step 5: Solve for x
    x = 32,020.24/171.04
  6. Step 6: Final answer
    x = 187.21

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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.