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Finding the Fourth Proportional to 22.49, 33.73 and 8.05

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Solution

The fourth proportional to 22.49, 33.73 and 8.05 is: 12.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.49 : 33.73 = 8.05 : x
  2. Step 2: Convert to fraction form
    22.49/33.73 = 8.05/x
  3. Step 3: Cross multiply
    22.49x = 33.73 × 8.05
  4. Step 4: Simplify right side
    22.49x = 271.42
  5. Step 5: Solve for x
    x = 271.42/22.49
  6. Step 6: Final answer
    x = 12.07

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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.