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Finding the Fourth Proportional to 79.67, 109.35 and 76.33

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Solution

The fourth proportional to 79.67, 109.35 and 76.33 is: 104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.67 : 109.35 = 76.33 : x
  2. Step 2: Convert to fraction form
    79.67/109.35 = 76.33/x
  3. Step 3: Cross multiply
    79.67x = 109.35 × 76.33
  4. Step 4: Simplify right side
    79.67x = 8,346.69
  5. Step 5: Solve for x
    x = 8,346.69/79.67
  6. Step 6: Final answer
    x = 104.77

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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.