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Finding the Fourth Proportional to 115.09, 171.54 and 108.61

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Solution

The fourth proportional to 115.09, 171.54 and 108.61 is: 161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.09 : 171.54 = 108.61 : x
  2. Step 2: Convert to fraction form
    115.09/171.54 = 108.61/x
  3. Step 3: Cross multiply
    115.09x = 171.54 × 108.61
  4. Step 4: Simplify right side
    115.09x = 18,630.96
  5. Step 5: Solve for x
    x = 18,630.96/115.09
  6. Step 6: Final answer
    x = 161.88

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Why These Related Problems?

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