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Finding the Fourth Proportional to 20.46, 28.38 and 19.78

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Solution

The fourth proportional to 20.46, 28.38 and 19.78 is: 27.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.46 : 28.38 = 19.78 : x
  2. Step 2: Convert to fraction form
    20.46/28.38 = 19.78/x
  3. Step 3: Cross multiply
    20.46x = 28.38 × 19.78
  4. Step 4: Simplify right side
    20.46x = 561.36
  5. Step 5: Solve for x
    x = 561.36/20.46
  6. Step 6: Final answer
    x = 27.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.