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Finding the Fourth Proportional to 49.22, 67.89 and 29.78

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Solution

The fourth proportional to 49.22, 67.89 and 29.78 is: 41.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.22 : 67.89 = 29.78 : x
  2. Step 2: Convert to fraction form
    49.22/67.89 = 29.78/x
  3. Step 3: Cross multiply
    49.22x = 67.89 × 29.78
  4. Step 4: Simplify right side
    49.22x = 2,021.76
  5. Step 5: Solve for x
    x = 2,021.76/49.22
  6. Step 6: Final answer
    x = 41.08

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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.