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Finding the Fourth Proportional to 170.49, 255.63 and 83.82

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Solution

The fourth proportional to 170.49, 255.63 and 83.82 is: 125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.49 : 255.63 = 83.82 : x
  2. Step 2: Convert to fraction form
    170.49/255.63 = 83.82/x
  3. Step 3: Cross multiply
    170.49x = 255.63 × 83.82
  4. Step 4: Simplify right side
    170.49x = 21,426.91
  5. Step 5: Solve for x
    x = 21,426.91/170.49
  6. Step 6: Final answer
    x = 125.68

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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.