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Finding the Fourth Proportional to 110.82, 165.86 and 76.33

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Solution

The fourth proportional to 110.82, 165.86 and 76.33 is: 114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.82 : 165.86 = 76.33 : x
  2. Step 2: Convert to fraction form
    110.82/165.86 = 76.33/x
  3. Step 3: Cross multiply
    110.82x = 165.86 × 76.33
  4. Step 4: Simplify right side
    110.82x = 12,660.09
  5. Step 5: Solve for x
    x = 12,660.09/110.82
  6. Step 6: Final answer
    x = 114.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.