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Finding the Fourth Proportional to 169.90, 254.75 and 83.23

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Solution

The fourth proportional to 169.90, 254.75 and 83.23 is: 124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.90 : 254.75 = 83.23 : x
  2. Step 2: Convert to fraction form
    169.90/254.75 = 83.23/x
  3. Step 3: Cross multiply
    169.90x = 254.75 × 83.23
  4. Step 4: Simplify right side
    169.90x = 21,201.79
  5. Step 5: Solve for x
    x = 21,201.79/169.90
  6. Step 6: Final answer
    x = 124.79

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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.