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Finding the Fourth Proportional to 49.16, 67.78 and 36.20

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Solution

The fourth proportional to 49.16, 67.78 and 36.20 is: 49.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.16 : 67.78 = 36.20 : x
  2. Step 2: Convert to fraction form
    49.16/67.78 = 36.20/x
  3. Step 3: Cross multiply
    49.16x = 67.78 × 36.20
  4. Step 4: Simplify right side
    49.16x = 2,453.64
  5. Step 5: Solve for x
    x = 2,453.64/49.16
  6. Step 6: Final answer
    x = 49.91

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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.