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Finding the Fourth Proportional to 169.20, 233.42 and 102.80

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Solution

The fourth proportional to 169.20, 233.42 and 102.80 is: 141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.20 : 233.42 = 102.80 : x
  2. Step 2: Convert to fraction form
    169.20/233.42 = 102.80/x
  3. Step 3: Cross multiply
    169.20x = 233.42 × 102.80
  4. Step 4: Simplify right side
    169.20x = 23,995.58
  5. Step 5: Solve for x
    x = 23,995.58/169.20
  6. Step 6: Final answer
    x = 141.82

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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.