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Finding the Fourth Proportional to 169.92, 255.24 and 105.08

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Solution

The fourth proportional to 169.92, 255.24 and 105.08 is: 157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.92 : 255.24 = 105.08 : x
  2. Step 2: Convert to fraction form
    169.92/255.24 = 105.08/x
  3. Step 3: Cross multiply
    169.92x = 255.24 × 105.08
  4. Step 4: Simplify right side
    169.92x = 26,820.62
  5. Step 5: Solve for x
    x = 26,820.62/169.92
  6. Step 6: Final answer
    x = 157.84

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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.