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Finding the Fourth Proportional to 169.78, 254.27 and 96.48

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Solution

The fourth proportional to 169.78, 254.27 and 96.48 is: 144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.78 : 254.27 = 96.48 : x
  2. Step 2: Convert to fraction form
    169.78/254.27 = 96.48/x
  3. Step 3: Cross multiply
    169.78x = 254.27 × 96.48
  4. Step 4: Simplify right side
    169.78x = 24,531.97
  5. Step 5: Solve for x
    x = 24,531.97/169.78
  6. Step 6: Final answer
    x = 144.49

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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.