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Finding the Fourth Proportional to 20.04, 27.84 and 19.44

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Solution

The fourth proportional to 20.04, 27.84 and 19.44 is: 27.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.04 : 27.84 = 19.44 : x
  2. Step 2: Convert to fraction form
    20.04/27.84 = 19.44/x
  3. Step 3: Cross multiply
    20.04x = 27.84 × 19.44
  4. Step 4: Simplify right side
    20.04x = 541.21
  5. Step 5: Solve for x
    x = 541.21/20.04
  6. Step 6: Final answer
    x = 27.01

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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.