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Finding the Fourth Proportional to 115.27, 171.72 and 108.29

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Solution

The fourth proportional to 115.27, 171.72 and 108.29 is: 161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.27 : 171.72 = 108.29 : x
  2. Step 2: Convert to fraction form
    115.27/171.72 = 108.29/x
  3. Step 3: Cross multiply
    115.27x = 171.72 × 108.29
  4. Step 4: Simplify right side
    115.27x = 18,595.99
  5. Step 5: Solve for x
    x = 18,595.99/115.27
  6. Step 6: Final answer
    x = 161.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.