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Finding the Fourth Proportional to 22.27, 30.75 and 18.40

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Solution

The fourth proportional to 22.27, 30.75 and 18.40 is: 25.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.27 : 30.75 = 18.40 : x
  2. Step 2: Convert to fraction form
    22.27/30.75 = 18.40/x
  3. Step 3: Cross multiply
    22.27x = 30.75 × 18.40
  4. Step 4: Simplify right side
    22.27x = 565.80
  5. Step 5: Solve for x
    x = 565.80/22.27
  6. Step 6: Final answer
    x = 25.41

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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.