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Finding the Fourth Proportional to 49.22, 67.86 and 47.80

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Solution

The fourth proportional to 49.22, 67.86 and 47.80 is: 65.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.22 : 67.86 = 47.80 : x
  2. Step 2: Convert to fraction form
    49.22/67.86 = 47.80/x
  3. Step 3: Cross multiply
    49.22x = 67.86 × 47.80
  4. Step 4: Simplify right side
    49.22x = 3,243.54
  5. Step 5: Solve for x
    x = 3,243.54/49.22
  6. Step 6: Final answer
    x = 65.91

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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.