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Finding the Fourth Proportional to 19.86, 27.42 and 16.44

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Solution

The fourth proportional to 19.86, 27.42 and 16.44 is: 22.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.86 : 27.42 = 16.44 : x
  2. Step 2: Convert to fraction form
    19.86/27.42 = 16.44/x
  3. Step 3: Cross multiply
    19.86x = 27.42 × 16.44
  4. Step 4: Simplify right side
    19.86x = 450.78
  5. Step 5: Solve for x
    x = 450.78/19.86
  6. Step 6: Final answer
    x = 22.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.