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Finding the Fourth Proportional to 77.96, 106.62 and 76.70

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Solution

The fourth proportional to 77.96, 106.62 and 76.70 is: 104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.96 : 106.62 = 76.70 : x
  2. Step 2: Convert to fraction form
    77.96/106.62 = 76.70/x
  3. Step 3: Cross multiply
    77.96x = 106.62 × 76.70
  4. Step 4: Simplify right side
    77.96x = 8,177.51
  5. Step 5: Solve for x
    x = 8,177.51/77.96
  6. Step 6: Final answer
    x = 104.90

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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.