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Finding the Fourth Proportional to 22.78, 34.02 and 19.71

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Solution

The fourth proportional to 22.78, 34.02 and 19.71 is: 29.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.78 : 34.02 = 19.71 : x
  2. Step 2: Convert to fraction form
    22.78/34.02 = 19.71/x
  3. Step 3: Cross multiply
    22.78x = 34.02 × 19.71
  4. Step 4: Simplify right side
    22.78x = 670.27
  5. Step 5: Solve for x
    x = 670.27/22.78
  6. Step 6: Final answer
    x = 29.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.