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Finding the Fourth Proportional to 77.94, 116.91 and 23.83

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Solution

The fourth proportional to 77.94, 116.91 and 23.83 is: 35.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.94 : 116.91 = 23.83 : x
  2. Step 2: Convert to fraction form
    77.94/116.91 = 23.83/x
  3. Step 3: Cross multiply
    77.94x = 116.91 × 23.83
  4. Step 4: Simplify right side
    77.94x = 2,786.02
  5. Step 5: Solve for x
    x = 2,786.02/77.94
  6. Step 6: Final answer
    x = 35.75

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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.