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Finding the Fourth Proportional to 169.38, 233.62 and 103.92

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Solution

The fourth proportional to 169.38, 233.62 and 103.92 is: 143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.38 : 233.62 = 103.92 : x
  2. Step 2: Convert to fraction form
    169.38/233.62 = 103.92/x
  3. Step 3: Cross multiply
    169.38x = 233.62 × 103.92
  4. Step 4: Simplify right side
    169.38x = 24,277.79
  5. Step 5: Solve for x
    x = 24,277.79/169.38
  6. Step 6: Final answer
    x = 143.33

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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.