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Finding the Fourth Proportional to 36.36, 50.20 and 27.76

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Solution

The fourth proportional to 36.36, 50.20 and 27.76 is: 38.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.36 : 50.20 = 27.76 : x
  2. Step 2: Convert to fraction form
    36.36/50.20 = 27.76/x
  3. Step 3: Cross multiply
    36.36x = 50.20 × 27.76
  4. Step 4: Simplify right side
    36.36x = 1,393.55
  5. Step 5: Solve for x
    x = 1,393.55/36.36
  6. Step 6: Final answer
    x = 38.33

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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.