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Finding the Fourth Proportional to 110.31, 165.52 and 71.78

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Solution

The fourth proportional to 110.31, 165.52 and 71.78 is: 107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.31 : 165.52 = 71.78 : x
  2. Step 2: Convert to fraction form
    110.31/165.52 = 71.78/x
  3. Step 3: Cross multiply
    110.31x = 165.52 × 71.78
  4. Step 4: Simplify right side
    110.31x = 11,881.03
  5. Step 5: Solve for x
    x = 11,881.03/110.31
  6. Step 6: Final answer
    x = 107.71

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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.