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Finding the Fourth Proportional to 23.97, 35.96 and 7.94

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Solution

The fourth proportional to 23.97, 35.96 and 7.94 is: 11.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.97 : 35.96 = 7.94 : x
  2. Step 2: Convert to fraction form
    23.97/35.96 = 7.94/x
  3. Step 3: Cross multiply
    23.97x = 35.96 × 7.94
  4. Step 4: Simplify right side
    23.97x = 285.52
  5. Step 5: Solve for x
    x = 285.52/23.97
  6. Step 6: Final answer
    x = 11.91

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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.