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Finding the Fourth Proportional to 118.85, 163.98 and 67.10

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Solution

The fourth proportional to 118.85, 163.98 and 67.10 is: 92.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.85 : 163.98 = 67.10 : x
  2. Step 2: Convert to fraction form
    118.85/163.98 = 67.10/x
  3. Step 3: Cross multiply
    118.85x = 163.98 × 67.10
  4. Step 4: Simplify right side
    118.85x = 11,002.24
  5. Step 5: Solve for x
    x = 11,002.24/118.85
  6. Step 6: Final answer
    x = 92.58

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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.