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Finding the Fourth Proportional to 20.08, 27.55 and 19.88

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Solution

The fourth proportional to 20.08, 27.55 and 19.88 is: 27.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.08 : 27.55 = 19.88 : x
  2. Step 2: Convert to fraction form
    20.08/27.55 = 19.88/x
  3. Step 3: Cross multiply
    20.08x = 27.55 × 19.88
  4. Step 4: Simplify right side
    20.08x = 547.69
  5. Step 5: Solve for x
    x = 547.69/20.08
  6. Step 6: Final answer
    x = 27.28

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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.