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Finding the Fourth Proportional to 20.08, 27.75 and 14.28

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Solution

The fourth proportional to 20.08, 27.75 and 14.28 is: 19.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.08 : 27.75 = 14.28 : x
  2. Step 2: Convert to fraction form
    20.08/27.75 = 14.28/x
  3. Step 3: Cross multiply
    20.08x = 27.75 × 14.28
  4. Step 4: Simplify right side
    20.08x = 396.27
  5. Step 5: Solve for x
    x = 396.27/20.08
  6. Step 6: Final answer
    x = 19.73

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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.