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Finding the Fourth Proportional to 185.06, 255.36 and 106.39

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Solution

The fourth proportional to 185.06, 255.36 and 106.39 is: 146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.06 : 255.36 = 106.39 : x
  2. Step 2: Convert to fraction form
    185.06/255.36 = 106.39/x
  3. Step 3: Cross multiply
    185.06x = 255.36 × 106.39
  4. Step 4: Simplify right side
    185.06x = 27,166.47
  5. Step 5: Solve for x
    x = 27,166.47/185.06
  6. Step 6: Final answer
    x = 146.80

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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.