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Finding the Fourth Proportional to 31.94, 47.96 and 20.56

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Solution

The fourth proportional to 31.94, 47.96 and 20.56 is: 30.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.94 : 47.96 = 20.56 : x
  2. Step 2: Convert to fraction form
    31.94/47.96 = 20.56/x
  3. Step 3: Cross multiply
    31.94x = 47.96 × 20.56
  4. Step 4: Simplify right side
    31.94x = 986.06
  5. Step 5: Solve for x
    x = 986.06/31.94
  6. Step 6: Final answer
    x = 30.87

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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.