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Finding the Fourth Proportional to 51.94, 77.91 and 51.31

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Solution

The fourth proportional to 51.94, 77.91 and 51.31 is: 76.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.94 : 77.91 = 51.31 : x
  2. Step 2: Convert to fraction form
    51.94/77.91 = 51.31/x
  3. Step 3: Cross multiply
    51.94x = 77.91 × 51.31
  4. Step 4: Simplify right side
    51.94x = 3,997.56
  5. Step 5: Solve for x
    x = 3,997.56/51.94
  6. Step 6: Final answer
    x = 76.97

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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.