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Finding the Fourth Proportional to 169.45, 254.06 and 82.67

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Solution

The fourth proportional to 169.45, 254.06 and 82.67 is: 123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.45 : 254.06 = 82.67 : x
  2. Step 2: Convert to fraction form
    169.45/254.06 = 82.67/x
  3. Step 3: Cross multiply
    169.45x = 254.06 × 82.67
  4. Step 4: Simplify right side
    169.45x = 21,002.73
  5. Step 5: Solve for x
    x = 21,002.73/169.45
  6. Step 6: Final answer
    x = 123.95

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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.