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Finding the Fourth Proportional to 168.82, 233 and 102.44

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Solution

The fourth proportional to 168.82, 233 and 102.44 is: 141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.82 : 233 = 102.44 : x
  2. Step 2: Convert to fraction form
    168.82/233 = 102.44/x
  3. Step 3: Cross multiply
    168.82x = 233 × 102.44
  4. Step 4: Simplify right side
    168.82x = 23,868.52
  5. Step 5: Solve for x
    x = 23,868.52/168.82
  6. Step 6: Final answer
    x = 141.38

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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.