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Finding the Fourth Proportional to 74.44, 102.74 and 49.84

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Solution

The fourth proportional to 74.44, 102.74 and 49.84 is: 68.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.44 : 102.74 = 49.84 : x
  2. Step 2: Convert to fraction form
    74.44/102.74 = 49.84/x
  3. Step 3: Cross multiply
    74.44x = 102.74 × 49.84
  4. Step 4: Simplify right side
    74.44x = 5,120.56
  5. Step 5: Solve for x
    x = 5,120.56/74.44
  6. Step 6: Final answer
    x = 68.79

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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.