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Finding the Fourth Proportional to 30.96, 46.41 and 13.83

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Solution

The fourth proportional to 30.96, 46.41 and 13.83 is: 20.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.96 : 46.41 = 13.83 : x
  2. Step 2: Convert to fraction form
    30.96/46.41 = 13.83/x
  3. Step 3: Cross multiply
    30.96x = 46.41 × 13.83
  4. Step 4: Simplify right side
    30.96x = 641.85
  5. Step 5: Solve for x
    x = 641.85/30.96
  6. Step 6: Final answer
    x = 20.73

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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.