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Finding the Fourth Proportional to 168.50, 232.50 and 98.55

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Solution

The fourth proportional to 168.50, 232.50 and 98.55 is: 135.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.50 : 232.50 = 98.55 : x
  2. Step 2: Convert to fraction form
    168.50/232.50 = 98.55/x
  3. Step 3: Cross multiply
    168.50x = 232.50 × 98.55
  4. Step 4: Simplify right side
    168.50x = 22,912.38
  5. Step 5: Solve for x
    x = 22,912.38/168.50
  6. Step 6: Final answer
    x = 135.98

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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.