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Finding the Fourth Proportional to 19.92, 27.47 and 13.44

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Solution

The fourth proportional to 19.92, 27.47 and 13.44 is: 18.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.92 : 27.47 = 13.44 : x
  2. Step 2: Convert to fraction form
    19.92/27.47 = 13.44/x
  3. Step 3: Cross multiply
    19.92x = 27.47 × 13.44
  4. Step 4: Simplify right side
    19.92x = 369.13
  5. Step 5: Solve for x
    x = 369.13/19.92
  6. Step 6: Final answer
    x = 18.53

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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.