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Finding the Fourth Proportional to 49.80, 68.22 and 44.94

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Solution

The fourth proportional to 49.80, 68.22 and 44.94 is: 61.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.80 : 68.22 = 44.94 : x
  2. Step 2: Convert to fraction form
    49.80/68.22 = 44.94/x
  3. Step 3: Cross multiply
    49.80x = 68.22 × 44.94
  4. Step 4: Simplify right side
    49.80x = 3,065.81
  5. Step 5: Solve for x
    x = 3,065.81/49.80
  6. Step 6: Final answer
    x = 61.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.