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Finding the Fourth Proportional to 76.70, 105.83 and 49.11

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Solution

The fourth proportional to 76.70, 105.83 and 49.11 is: 67.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.70 : 105.83 = 49.11 : x
  2. Step 2: Convert to fraction form
    76.70/105.83 = 49.11/x
  3. Step 3: Cross multiply
    76.70x = 105.83 × 49.11
  4. Step 4: Simplify right side
    76.70x = 5,197.43
  5. Step 5: Solve for x
    x = 5,197.43/76.70
  6. Step 6: Final answer
    x = 67.76

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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.