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Finding the Fourth Proportional to 80.16, 109.83 and 79.35

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Solution

The fourth proportional to 80.16, 109.83 and 79.35 is: 108.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.16 : 109.83 = 79.35 : x
  2. Step 2: Convert to fraction form
    80.16/109.83 = 79.35/x
  3. Step 3: Cross multiply
    80.16x = 109.83 × 79.35
  4. Step 4: Simplify right side
    80.16x = 8,715.01
  5. Step 5: Solve for x
    x = 8,715.01/80.16
  6. Step 6: Final answer
    x = 108.72

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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.