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Finding the Fourth Proportional to 115.75, 174.09 and 105.91

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Solution

The fourth proportional to 115.75, 174.09 and 105.91 is: 159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.75 : 174.09 = 105.91 : x
  2. Step 2: Convert to fraction form
    115.75/174.09 = 105.91/x
  3. Step 3: Cross multiply
    115.75x = 174.09 × 105.91
  4. Step 4: Simplify right side
    115.75x = 18,437.87
  5. Step 5: Solve for x
    x = 18,437.87/115.75
  6. Step 6: Final answer
    x = 159.29

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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.