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Finding the Fourth Proportional to 169.49, 254.26 and 61.27

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Solution

The fourth proportional to 169.49, 254.26 and 61.27 is: 91.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.49 : 254.26 = 61.27 : x
  2. Step 2: Convert to fraction form
    169.49/254.26 = 61.27/x
  3. Step 3: Cross multiply
    169.49x = 254.26 × 61.27
  4. Step 4: Simplify right side
    169.49x = 15,579.04
  5. Step 5: Solve for x
    x = 15,579.04/169.49
  6. Step 6: Final answer
    x = 91.92

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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.