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Finding the Fourth Proportional to 82.44, 113.82 and 49.74

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Solution

The fourth proportional to 82.44, 113.82 and 49.74 is: 68.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.44 : 113.82 = 49.74 : x
  2. Step 2: Convert to fraction form
    82.44/113.82 = 49.74/x
  3. Step 3: Cross multiply
    82.44x = 113.82 × 49.74
  4. Step 4: Simplify right side
    82.44x = 5,661.41
  5. Step 5: Solve for x
    x = 5,661.41/82.44
  6. Step 6: Final answer
    x = 68.67

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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.