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Finding the Fourth Proportional to 49.20, 73.78 and 22.16

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Solution

The fourth proportional to 49.20, 73.78 and 22.16 is: 33.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.20 : 73.78 = 22.16 : x
  2. Step 2: Convert to fraction form
    49.20/73.78 = 22.16/x
  3. Step 3: Cross multiply
    49.20x = 73.78 × 22.16
  4. Step 4: Simplify right side
    49.20x = 1,634.96
  5. Step 5: Solve for x
    x = 1,634.96/49.20
  6. Step 6: Final answer
    x = 33.23

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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.