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Finding the Fourth Proportional to 54.86, 82.23 and 30.83

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Solution

The fourth proportional to 54.86, 82.23 and 30.83 is: 46.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.86 : 82.23 = 30.83 : x
  2. Step 2: Convert to fraction form
    54.86/82.23 = 30.83/x
  3. Step 3: Cross multiply
    54.86x = 82.23 × 30.83
  4. Step 4: Simplify right side
    54.86x = 2,535.15
  5. Step 5: Solve for x
    x = 2,535.15/54.86
  6. Step 6: Final answer
    x = 46.21

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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.