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Finding the Fourth Proportional to 169.76, 254.68 and 83.25

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Solution

The fourth proportional to 169.76, 254.68 and 83.25 is: 124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.76 : 254.68 = 83.25 : x
  2. Step 2: Convert to fraction form
    169.76/254.68 = 83.25/x
  3. Step 3: Cross multiply
    169.76x = 254.68 × 83.25
  4. Step 4: Simplify right side
    169.76x = 21,202.11
  5. Step 5: Solve for x
    x = 21,202.11/169.76
  6. Step 6: Final answer
    x = 124.89

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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.