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Finding the Fourth Proportional to 170.91, 255.81 and 92.71

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Solution

The fourth proportional to 170.91, 255.81 and 92.71 is: 138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.91 : 255.81 = 92.71 : x
  2. Step 2: Convert to fraction form
    170.91/255.81 = 92.71/x
  3. Step 3: Cross multiply
    170.91x = 255.81 × 92.71
  4. Step 4: Simplify right side
    170.91x = 23,714.87
  5. Step 5: Solve for x
    x = 23,714.87/170.91
  6. Step 6: Final answer
    x = 138.76

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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.