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Finding the Fourth Proportional to 49.48, 68.34 and 44.04

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Solution

The fourth proportional to 49.48, 68.34 and 44.04 is: 60.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.48 : 68.34 = 44.04 : x
  2. Step 2: Convert to fraction form
    49.48/68.34 = 44.04/x
  3. Step 3: Cross multiply
    49.48x = 68.34 × 44.04
  4. Step 4: Simplify right side
    49.48x = 3,009.69
  5. Step 5: Solve for x
    x = 3,009.69/49.48
  6. Step 6: Final answer
    x = 60.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.