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Finding the Fourth Proportional to 20.22, 27.84 and 17.82

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Solution

The fourth proportional to 20.22, 27.84 and 17.82 is: 24.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.22 : 27.84 = 17.82 : x
  2. Step 2: Convert to fraction form
    20.22/27.84 = 17.82/x
  3. Step 3: Cross multiply
    20.22x = 27.84 × 17.82
  4. Step 4: Simplify right side
    20.22x = 496.11
  5. Step 5: Solve for x
    x = 496.11/20.22
  6. Step 6: Final answer
    x = 24.54

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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.