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Finding the Fourth Proportional to 54.50, 82.08 and 48.83

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Solution

The fourth proportional to 54.50, 82.08 and 48.83 is: 73.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.50 : 82.08 = 48.83 : x
  2. Step 2: Convert to fraction form
    54.50/82.08 = 48.83/x
  3. Step 3: Cross multiply
    54.50x = 82.08 × 48.83
  4. Step 4: Simplify right side
    54.50x = 4,007.56
  5. Step 5: Solve for x
    x = 4,007.56/54.50
  6. Step 6: Final answer
    x = 73.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.