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Finding the Fourth Proportional to 168.80, 232.83 and 103.22

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Solution

The fourth proportional to 168.80, 232.83 and 103.22 is: 142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.80 : 232.83 = 103.22 : x
  2. Step 2: Convert to fraction form
    168.80/232.83 = 103.22/x
  3. Step 3: Cross multiply
    168.80x = 232.83 × 103.22
  4. Step 4: Simplify right side
    168.80x = 24,032.71
  5. Step 5: Solve for x
    x = 24,032.71/168.80
  6. Step 6: Final answer
    x = 142.37

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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.