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Finding the Fourth Proportional to 185.12, 255.46 and 106.44

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Solution

The fourth proportional to 185.12, 255.46 and 106.44 is: 146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.12 : 255.46 = 106.44 : x
  2. Step 2: Convert to fraction form
    185.12/255.46 = 106.44/x
  3. Step 3: Cross multiply
    185.12x = 255.46 × 106.44
  4. Step 4: Simplify right side
    185.12x = 27,191.16
  5. Step 5: Solve for x
    x = 27,191.16/185.12
  6. Step 6: Final answer
    x = 146.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.