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Finding the Fourth Proportional to 76.81, 105.93 and 49.15

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Solution

The fourth proportional to 76.81, 105.93 and 49.15 is: 67.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.81 : 105.93 = 49.15 : x
  2. Step 2: Convert to fraction form
    76.81/105.93 = 49.15/x
  3. Step 3: Cross multiply
    76.81x = 105.93 × 49.15
  4. Step 4: Simplify right side
    76.81x = 5,206.46
  5. Step 5: Solve for x
    x = 5,206.46/76.81
  6. Step 6: Final answer
    x = 67.78

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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.