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Finding the Fourth Proportional to 170.97, 256.08 and 106.71

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Solution

The fourth proportional to 170.97, 256.08 and 106.71 is: 159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.97 : 256.08 = 106.71 : x
  2. Step 2: Convert to fraction form
    170.97/256.08 = 106.71/x
  3. Step 3: Cross multiply
    170.97x = 256.08 × 106.71
  4. Step 4: Simplify right side
    170.97x = 27,326.30
  5. Step 5: Solve for x
    x = 27,326.30/170.97
  6. Step 6: Final answer
    x = 159.83

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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.