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Finding the Fourth Proportional to 19.05, 28.56 and 8.22

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Solution

The fourth proportional to 19.05, 28.56 and 8.22 is: 12.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.05 : 28.56 = 8.22 : x
  2. Step 2: Convert to fraction form
    19.05/28.56 = 8.22/x
  3. Step 3: Cross multiply
    19.05x = 28.56 × 8.22
  4. Step 4: Simplify right side
    19.05x = 234.76
  5. Step 5: Solve for x
    x = 234.76/19.05
  6. Step 6: Final answer
    x = 12.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.