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Finding the Fourth Proportional to 169.20, 233.55 and 103.71

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Solution

The fourth proportional to 169.20, 233.55 and 103.71 is: 143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.20 : 233.55 = 103.71 : x
  2. Step 2: Convert to fraction form
    169.20/233.55 = 103.71/x
  3. Step 3: Cross multiply
    169.20x = 233.55 × 103.71
  4. Step 4: Simplify right side
    169.20x = 24,221.47
  5. Step 5: Solve for x
    x = 24,221.47/169.20
  6. Step 6: Final answer
    x = 143.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.