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Finding the Fourth Proportional to 19.78, 27.17 and 16.71

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Solution

The fourth proportional to 19.78, 27.17 and 16.71 is: 22.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.78 : 27.17 = 16.71 : x
  2. Step 2: Convert to fraction form
    19.78/27.17 = 16.71/x
  3. Step 3: Cross multiply
    19.78x = 27.17 × 16.71
  4. Step 4: Simplify right side
    19.78x = 454.01
  5. Step 5: Solve for x
    x = 454.01/19.78
  6. Step 6: Final answer
    x = 22.95

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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.