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Finding the Fourth Proportional to 22.90, 34.15 and 19.71

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Solution

The fourth proportional to 22.90, 34.15 and 19.71 is: 29.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.90 : 34.15 = 19.71 : x
  2. Step 2: Convert to fraction form
    22.90/34.15 = 19.71/x
  3. Step 3: Cross multiply
    22.90x = 34.15 × 19.71
  4. Step 4: Simplify right side
    22.90x = 673.10
  5. Step 5: Solve for x
    x = 673.10/22.90
  6. Step 6: Final answer
    x = 29.39

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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.