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Finding the Fourth Proportional to 110.12, 166.41 and 108.23

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Solution

The fourth proportional to 110.12, 166.41 and 108.23 is: 163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.12 : 166.41 = 108.23 : x
  2. Step 2: Convert to fraction form
    110.12/166.41 = 108.23/x
  3. Step 3: Cross multiply
    110.12x = 166.41 × 108.23
  4. Step 4: Simplify right side
    110.12x = 18,009.72
  5. Step 5: Solve for x
    x = 18,009.72/110.12
  6. Step 6: Final answer
    x = 163.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.