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Finding the Fourth Proportional to 169.44, 254.09 and 53.85

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Solution

The fourth proportional to 169.44, 254.09 and 53.85 is: 80.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.44 : 254.09 = 53.85 : x
  2. Step 2: Convert to fraction form
    169.44/254.09 = 53.85/x
  3. Step 3: Cross multiply
    169.44x = 254.09 × 53.85
  4. Step 4: Simplify right side
    169.44x = 13,682.75
  5. Step 5: Solve for x
    x = 13,682.75/169.44
  6. Step 6: Final answer
    x = 80.75

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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.