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Finding the Fourth Proportional to 22.03, 33 and 12.37

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Solution

The fourth proportional to 22.03, 33 and 12.37 is: 18.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.03 : 33 = 12.37 : x
  2. Step 2: Convert to fraction form
    22.03/33 = 12.37/x
  3. Step 3: Cross multiply
    22.03x = 33 × 12.37
  4. Step 4: Simplify right side
    22.03x = 408.21
  5. Step 5: Solve for x
    x = 408.21/22.03
  6. Step 6: Final answer
    x = 18.53

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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.