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Finding the Fourth Proportional to 22.05, 32.99 and 19.20

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Solution

The fourth proportional to 22.05, 32.99 and 19.20 is: 28.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.05 : 32.99 = 19.20 : x
  2. Step 2: Convert to fraction form
    22.05/32.99 = 19.20/x
  3. Step 3: Cross multiply
    22.05x = 32.99 × 19.20
  4. Step 4: Simplify right side
    22.05x = 633.41
  5. Step 5: Solve for x
    x = 633.41/22.05
  6. Step 6: Final answer
    x = 28.73

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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.