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Finding the Fourth Proportional to 36.97, 51.02 and 22.42

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Solution

The fourth proportional to 36.97, 51.02 and 22.42 is: 30.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.97 : 51.02 = 22.42 : x
  2. Step 2: Convert to fraction form
    36.97/51.02 = 22.42/x
  3. Step 3: Cross multiply
    36.97x = 51.02 × 22.42
  4. Step 4: Simplify right side
    36.97x = 1,143.87
  5. Step 5: Solve for x
    x = 1,143.87/36.97
  6. Step 6: Final answer
    x = 30.94

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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.