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Finding the Fourth Proportional to 22.28, 30.72 and 19.22

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Solution

The fourth proportional to 22.28, 30.72 and 19.22 is: 26.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.28 : 30.72 = 19.22 : x
  2. Step 2: Convert to fraction form
    22.28/30.72 = 19.22/x
  3. Step 3: Cross multiply
    22.28x = 30.72 × 19.22
  4. Step 4: Simplify right side
    22.28x = 590.44
  5. Step 5: Solve for x
    x = 590.44/22.28
  6. Step 6: Final answer
    x = 26.50

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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.