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Finding the Fourth Proportional to 22.41, 30.78 and 19.98

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Solution

The fourth proportional to 22.41, 30.78 and 19.98 is: 27.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.41 : 30.78 = 19.98 : x
  2. Step 2: Convert to fraction form
    22.41/30.78 = 19.98/x
  3. Step 3: Cross multiply
    22.41x = 30.78 × 19.98
  4. Step 4: Simplify right side
    22.41x = 614.98
  5. Step 5: Solve for x
    x = 614.98/22.41
  6. Step 6: Final answer
    x = 27.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.