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Finding the Fourth Proportional to 22.28, 30.78 and 17.47

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Solution

The fourth proportional to 22.28, 30.78 and 17.47 is: 24.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.28 : 30.78 = 17.47 : x
  2. Step 2: Convert to fraction form
    22.28/30.78 = 17.47/x
  3. Step 3: Cross multiply
    22.28x = 30.78 × 17.47
  4. Step 4: Simplify right side
    22.28x = 537.49
  5. Step 5: Solve for x
    x = 537.49/22.28
  6. Step 6: Final answer
    x = 24.12

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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.