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Finding the Fourth Proportional to 77.38, 106.82 and 49.75

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Solution

The fourth proportional to 77.38, 106.82 and 49.75 is: 68.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.38 : 106.82 = 49.75 : x
  2. Step 2: Convert to fraction form
    77.38/106.82 = 49.75/x
  3. Step 3: Cross multiply
    77.38x = 106.82 × 49.75
  4. Step 4: Simplify right side
    77.38x = 5,314.05
  5. Step 5: Solve for x
    x = 5,314.05/77.38
  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.