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Finding the Fourth Proportional to 80.84, 111.67 and 76.79

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Solution

The fourth proportional to 80.84, 111.67 and 76.79 is: 106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.84 : 111.67 = 76.79 : x
  2. Step 2: Convert to fraction form
    80.84/111.67 = 76.79/x
  3. Step 3: Cross multiply
    80.84x = 111.67 × 76.79
  4. Step 4: Simplify right side
    80.84x = 8,574.39
  5. Step 5: Solve for x
    x = 8,574.39/80.84
  6. Step 6: Final answer
    x = 106.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.