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Finding the Fourth Proportional to 170.75, 256.17 and 102.71

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Solution

The fourth proportional to 170.75, 256.17 and 102.71 is: 154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.75 : 256.17 = 102.71 : x
  2. Step 2: Convert to fraction form
    170.75/256.17 = 102.71/x
  3. Step 3: Cross multiply
    170.75x = 256.17 × 102.71
  4. Step 4: Simplify right side
    170.75x = 26,309.94
  5. Step 5: Solve for x
    x = 26,309.94/170.75
  6. Step 6: Final answer
    x = 154.09

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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.