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Finding the Fourth Proportional to 20.19, 27.84 and 14.04

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Solution

The fourth proportional to 20.19, 27.84 and 14.04 is: 19.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.19 : 27.84 = 14.04 : x
  2. Step 2: Convert to fraction form
    20.19/27.84 = 14.04/x
  3. Step 3: Cross multiply
    20.19x = 27.84 × 14.04
  4. Step 4: Simplify right side
    20.19x = 390.87
  5. Step 5: Solve for x
    x = 390.87/20.19
  6. Step 6: Final answer
    x = 19.36

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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.