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Finding the Fourth Proportional to 118.85, 163.97 and 75.23

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Solution

The fourth proportional to 118.85, 163.97 and 75.23 is: 103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.85 : 163.97 = 75.23 : x
  2. Step 2: Convert to fraction form
    118.85/163.97 = 75.23/x
  3. Step 3: Cross multiply
    118.85x = 163.97 × 75.23
  4. Step 4: Simplify right side
    118.85x = 12,335.09
  5. Step 5: Solve for x
    x = 12,335.09/118.85
  6. Step 6: Final answer
    x = 103.79

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Why These Related Problems?

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