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Finding the Fourth Proportional to 49.20, 73.82 and 22.14

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Solution

The fourth proportional to 49.20, 73.82 and 22.14 is: 33.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.20 : 73.82 = 22.14 : x
  2. Step 2: Convert to fraction form
    49.20/73.82 = 22.14/x
  3. Step 3: Cross multiply
    49.20x = 73.82 × 22.14
  4. Step 4: Simplify right side
    49.20x = 1,634.37
  5. Step 5: Solve for x
    x = 1,634.37/49.20
  6. Step 6: Final answer
    x = 33.22

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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.