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Finding the Fourth Proportional to 169.96, 254.76 and 83.24

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Solution

The fourth proportional to 169.96, 254.76 and 83.24 is: 124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.96 : 254.76 = 83.24 : x
  2. Step 2: Convert to fraction form
    169.96/254.76 = 83.24/x
  3. Step 3: Cross multiply
    169.96x = 254.76 × 83.24
  4. Step 4: Simplify right side
    169.96x = 21,206.22
  5. Step 5: Solve for x
    x = 21,206.22/169.96
  6. Step 6: Final answer
    x = 124.77

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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.