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Finding the Fourth Proportional to 77.18, 105.81 and 75.82

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Solution

The fourth proportional to 77.18, 105.81 and 75.82 is: 103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.18 : 105.81 = 75.82 : x
  2. Step 2: Convert to fraction form
    77.18/105.81 = 75.82/x
  3. Step 3: Cross multiply
    77.18x = 105.81 × 75.82
  4. Step 4: Simplify right side
    77.18x = 8,022.51
  5. Step 5: Solve for x
    x = 8,022.51/77.18
  6. Step 6: Final answer
    x = 103.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.