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Finding the Fourth Proportional to 36.20, 50.00 and 27.03

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Solution

The fourth proportional to 36.20, 50.00 and 27.03 is: 37.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.20 : 50.00 = 27.03 : x
  2. Step 2: Convert to fraction form
    36.20/50.00 = 27.03/x
  3. Step 3: Cross multiply
    36.20x = 50.00 × 27.03
  4. Step 4: Simplify right side
    36.20x = 1,351.36
  5. Step 5: Solve for x
    x = 1,351.36/36.20
  6. Step 6: Final answer
    x = 37.34

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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.