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Finding the Fourth Proportional to 36.20, 49.61 and 34.68

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Solution

The fourth proportional to 36.20, 49.61 and 34.68 is: 47.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.20 : 49.61 = 34.68 : x
  2. Step 2: Convert to fraction form
    36.20/49.61 = 34.68/x
  3. Step 3: Cross multiply
    36.20x = 49.61 × 34.68
  4. Step 4: Simplify right side
    36.20x = 1,720.47
  5. Step 5: Solve for x
    x = 1,720.47/36.20
  6. Step 6: Final answer
    x = 47.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.