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Finding the Fourth Proportional to 36.20, 53.91 and 34.13

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Solution

The fourth proportional to 36.20, 53.91 and 34.13 is: 50.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.20 : 53.91 = 34.13 : x
  2. Step 2: Convert to fraction form
    36.20/53.91 = 34.13/x
  3. Step 3: Cross multiply
    36.20x = 53.91 × 34.13
  4. Step 4: Simplify right side
    36.20x = 1,839.68
  5. Step 5: Solve for x
    x = 1,839.68/36.20
  6. Step 6: Final answer
    x = 50.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.