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Finding the Fourth Proportional to 168.16, 232.08 and 98.22

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Solution

The fourth proportional to 168.16, 232.08 and 98.22 is: 135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.16 : 232.08 = 98.22 : x
  2. Step 2: Convert to fraction form
    168.16/232.08 = 98.22/x
  3. Step 3: Cross multiply
    168.16x = 232.08 × 98.22
  4. Step 4: Simplify right side
    168.16x = 22,794.90
  5. Step 5: Solve for x
    x = 22,794.90/168.16
  6. Step 6: Final answer
    x = 135.55

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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.