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Finding the Fourth Proportional to 49.09, 67.69 and 34.33

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Solution

The fourth proportional to 49.09, 67.69 and 34.33 is: 47.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.09 : 67.69 = 34.33 : x
  2. Step 2: Convert to fraction form
    49.09/67.69 = 34.33/x
  3. Step 3: Cross multiply
    49.09x = 67.69 × 34.33
  4. Step 4: Simplify right side
    49.09x = 2,323.80
  5. Step 5: Solve for x
    x = 2,323.80/49.09
  6. Step 6: Final answer
    x = 47.34

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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.