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Finding the Fourth Proportional to 171.72, 237.18 and 122.04

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Solution

The fourth proportional to 171.72, 237.18 and 122.04 is: 168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.72 : 237.18 = 122.04 : x
  2. Step 2: Convert to fraction form
    171.72/237.18 = 122.04/x
  3. Step 3: Cross multiply
    171.72x = 237.18 × 122.04
  4. Step 4: Simplify right side
    171.72x = 28,945.45
  5. Step 5: Solve for x
    x = 28,945.45/171.72
  6. Step 6: Final answer
    x = 168.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.