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Finding the Fourth Proportional to 115.64, 174.27 and 108.80

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Solution

The fourth proportional to 115.64, 174.27 and 108.80 is: 163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.64 : 174.27 = 108.80 : x
  2. Step 2: Convert to fraction form
    115.64/174.27 = 108.80/x
  3. Step 3: Cross multiply
    115.64x = 174.27 × 108.80
  4. Step 4: Simplify right side
    115.64x = 18,959.70
  5. Step 5: Solve for x
    x = 18,959.70/115.64
  6. Step 6: Final answer
    x = 163.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.