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Finding the Fourth Proportional to 110.54, 165.92 and 83.42

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Solution

The fourth proportional to 110.54, 165.92 and 83.42 is: 125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.54 : 165.92 = 83.42 : x
  2. Step 2: Convert to fraction form
    110.54/165.92 = 83.42/x
  3. Step 3: Cross multiply
    110.54x = 165.92 × 83.42
  4. Step 4: Simplify right side
    110.54x = 13,841.05
  5. Step 5: Solve for x
    x = 13,841.05/110.54
  6. Step 6: Final answer
    x = 125.21

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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.