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Finding the Fourth Proportional to 77.93, 106.84 and 76.57

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Solution

The fourth proportional to 77.93, 106.84 and 76.57 is: 104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.93 : 106.84 = 76.57 : x
  2. Step 2: Convert to fraction form
    77.93/106.84 = 76.57/x
  3. Step 3: Cross multiply
    77.93x = 106.84 × 76.57
  4. Step 4: Simplify right side
    77.93x = 8,180.74
  5. Step 5: Solve for x
    x = 8,180.74/77.93
  6. Step 6: Final answer
    x = 104.98

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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.