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Finding the Fourth Proportional to 77.99, 106.91 and 77.86

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Solution

The fourth proportional to 77.99, 106.91 and 77.86 is: 106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.99 : 106.91 = 77.86 : x
  2. Step 2: Convert to fraction form
    77.99/106.91 = 77.86/x
  3. Step 3: Cross multiply
    77.99x = 106.91 × 77.86
  4. Step 4: Simplify right side
    77.99x = 8,324.01
  5. Step 5: Solve for x
    x = 8,324.01/77.99
  6. Step 6: Final answer
    x = 106.73

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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.