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Finding the Fourth Proportional to 169.78, 254.13 and 97.42

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Solution

The fourth proportional to 169.78, 254.13 and 97.42 is: 145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.78 : 254.13 = 97.42 : x
  2. Step 2: Convert to fraction form
    169.78/254.13 = 97.42/x
  3. Step 3: Cross multiply
    169.78x = 254.13 × 97.42
  4. Step 4: Simplify right side
    169.78x = 24,757.34
  5. Step 5: Solve for x
    x = 24,757.34/169.78
  6. Step 6: Final answer
    x = 145.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.