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Finding the Fourth Proportional to 77.41, 106.81 and 49.75

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Solution

The fourth proportional to 77.41, 106.81 and 49.75 is: 68.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.41 : 106.81 = 49.75 : x
  2. Step 2: Convert to fraction form
    77.41/106.81 = 49.75/x
  3. Step 3: Cross multiply
    77.41x = 106.81 × 49.75
  4. Step 4: Simplify right side
    77.41x = 5,313.55
  5. Step 5: Solve for x
    x = 5,313.55/77.41
  6. Step 6: Final answer
    x = 68.64

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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.