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Finding the Fourth Proportional to 169.45, 254.13 and 61.24

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Solution

The fourth proportional to 169.45, 254.13 and 61.24 is: 91.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.45 : 254.13 = 61.24 : x
  2. Step 2: Convert to fraction form
    169.45/254.13 = 61.24/x
  3. Step 3: Cross multiply
    169.45x = 254.13 × 61.24
  4. Step 4: Simplify right side
    169.45x = 15,562.92
  5. Step 5: Solve for x
    x = 15,562.92/169.45
  6. Step 6: Final answer
    x = 91.84

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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.