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Finding the Fourth Proportional to 20.40, 27.94 and 19.60

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Solution

The fourth proportional to 20.40, 27.94 and 19.60 is: 26.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.40 : 27.94 = 19.60 : x
  2. Step 2: Convert to fraction form
    20.40/27.94 = 19.60/x
  3. Step 3: Cross multiply
    20.40x = 27.94 × 19.60
  4. Step 4: Simplify right side
    20.40x = 547.62
  5. Step 5: Solve for x
    x = 547.62/20.40
  6. Step 6: Final answer
    x = 26.84

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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.