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Finding the Fourth Proportional to 110.43, 165.73 and 71.82

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Solution

The fourth proportional to 110.43, 165.73 and 71.82 is: 107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.43 : 165.73 = 71.82 : x
  2. Step 2: Convert to fraction form
    110.43/165.73 = 71.82/x
  3. Step 3: Cross multiply
    110.43x = 165.73 × 71.82
  4. Step 4: Simplify right side
    110.43x = 11,902.64
  5. Step 5: Solve for x
    x = 11,902.64/110.43
  6. Step 6: Final answer
    x = 107.78

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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.