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Finding the Fourth Proportional to 169.93, 255.17 and 106.21

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Solution

The fourth proportional to 169.93, 255.17 and 106.21 is: 159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.93 : 255.17 = 106.21 : x
  2. Step 2: Convert to fraction form
    169.93/255.17 = 106.21/x
  3. Step 3: Cross multiply
    169.93x = 255.17 × 106.21
  4. Step 4: Simplify right side
    169.93x = 27,101.23
  5. Step 5: Solve for x
    x = 27,101.23/169.93
  6. Step 6: Final answer
    x = 159.49

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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.