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Finding the Fourth Proportional to 19.22, 28.80 and 11.20

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Solution

The fourth proportional to 19.22, 28.80 and 11.20 is: 16.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.22 : 28.80 = 11.20 : x
  2. Step 2: Convert to fraction form
    19.22/28.80 = 11.20/x
  3. Step 3: Cross multiply
    19.22x = 28.80 × 11.20
  4. Step 4: Simplify right side
    19.22x = 322.56
  5. Step 5: Solve for x
    x = 322.56/19.22
  6. Step 6: Final answer
    x = 16.78

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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.