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Finding the Fourth Proportional to 118.65, 163.68 and 85.85

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Solution

The fourth proportional to 118.65, 163.68 and 85.85 is: 118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.65 : 163.68 = 85.85 : x
  2. Step 2: Convert to fraction form
    118.65/163.68 = 85.85/x
  3. Step 3: Cross multiply
    118.65x = 163.68 × 85.85
  4. Step 4: Simplify right side
    118.65x = 14,050.68
  5. Step 5: Solve for x
    x = 14,050.68/118.65
  6. Step 6: Final answer
    x = 118.42

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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.