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Finding the Fourth Proportional to 83.16, 113.93 and 80.04

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Solution

The fourth proportional to 83.16, 113.93 and 80.04 is: 109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.16 : 113.93 = 80.04 : x
  2. Step 2: Convert to fraction form
    83.16/113.93 = 80.04/x
  3. Step 3: Cross multiply
    83.16x = 113.93 × 80.04
  4. Step 4: Simplify right side
    83.16x = 9,119.45
  5. Step 5: Solve for x
    x = 9,119.45/83.16
  6. Step 6: Final answer
    x = 109.66

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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.