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Finding the Fourth Proportional to 23.94, 35.91 and 7.91

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Solution

The fourth proportional to 23.94, 35.91 and 7.91 is: 11.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.94 : 35.91 = 7.91 : x
  2. Step 2: Convert to fraction form
    23.94/35.91 = 7.91/x
  3. Step 3: Cross multiply
    23.94x = 35.91 × 7.91
  4. Step 4: Simplify right side
    23.94x = 284.05
  5. Step 5: Solve for x
    x = 284.05/23.94
  6. Step 6: Final answer
    x = 11.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.