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Finding the Fourth Proportional to 36.20, 49.92 and 28.00

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Solution

The fourth proportional to 36.20, 49.92 and 28.00 is: 38.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.20 : 49.92 = 28.00 : x
  2. Step 2: Convert to fraction form
    36.20/49.92 = 28.00/x
  3. Step 3: Cross multiply
    36.20x = 49.92 × 28.00
  4. Step 4: Simplify right side
    36.20x = 1,397.44
  5. Step 5: Solve for x
    x = 1,397.44/36.20
  6. Step 6: Final answer
    x = 38.61

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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.