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Finding the Fourth Proportional to 169.37, 254.07 and 82.73

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Solution

The fourth proportional to 169.37, 254.07 and 82.73 is: 124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.37 : 254.07 = 82.73 : x
  2. Step 2: Convert to fraction form
    169.37/254.07 = 82.73/x
  3. Step 3: Cross multiply
    169.37x = 254.07 × 82.73
  4. Step 4: Simplify right side
    169.37x = 21,017.94
  5. Step 5: Solve for x
    x = 21,017.94/169.37
  6. Step 6: Final answer
    x = 124.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.