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Finding the Fourth Proportional to 169.78, 254.55 and 83.13

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Solution

The fourth proportional to 169.78, 254.55 and 83.13 is: 124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.78 : 254.55 = 83.13 : x
  2. Step 2: Convert to fraction form
    169.78/254.55 = 83.13/x
  3. Step 3: Cross multiply
    169.78x = 254.55 × 83.13
  4. Step 4: Simplify right side
    169.78x = 21,160.74
  5. Step 5: Solve for x
    x = 21,160.74/169.78
  6. Step 6: Final answer
    x = 124.64

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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.