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Finding the Fourth Proportional to 49.78, 74.70 and 22.73

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Solution

The fourth proportional to 49.78, 74.70 and 22.73 is: 34.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.78 : 74.70 = 22.73 : x
  2. Step 2: Convert to fraction form
    49.78/74.70 = 22.73/x
  3. Step 3: Cross multiply
    49.78x = 74.70 × 22.73
  4. Step 4: Simplify right side
    49.78x = 1,698.23
  5. Step 5: Solve for x
    x = 1,698.23/49.78
  6. Step 6: Final answer
    x = 34.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.