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Finding the Fourth Proportional to 22.40, 33.57 and 12.24

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Solution

The fourth proportional to 22.40, 33.57 and 12.24 is: 18.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.40 : 33.57 = 12.24 : x
  2. Step 2: Convert to fraction form
    22.40/33.57 = 12.24/x
  3. Step 3: Cross multiply
    22.40x = 33.57 × 12.24
  4. Step 4: Simplify right side
    22.40x = 410.90
  5. Step 5: Solve for x
    x = 410.90/22.40
  6. Step 6: Final answer
    x = 18.34

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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.