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Finding the Fourth Proportional to 168.44, 232.32 and 102.82

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Solution

The fourth proportional to 168.44, 232.32 and 102.82 is: 141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.44 : 232.32 = 102.82 : x
  2. Step 2: Convert to fraction form
    168.44/232.32 = 102.82/x
  3. Step 3: Cross multiply
    168.44x = 232.32 × 102.82
  4. Step 4: Simplify right side
    168.44x = 23,887.14
  5. Step 5: Solve for x
    x = 23,887.14/168.44
  6. Step 6: Final answer
    x = 141.81

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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.