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Finding the Fourth Proportional to 110.43, 166.41 and 91.60

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Solution

The fourth proportional to 110.43, 166.41 and 91.60 is: 138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.43 : 166.41 = 91.60 : x
  2. Step 2: Convert to fraction form
    110.43/166.41 = 91.60/x
  3. Step 3: Cross multiply
    110.43x = 166.41 × 91.60
  4. Step 4: Simplify right side
    110.43x = 15,243.16
  5. Step 5: Solve for x
    x = 15,243.16/110.43
  6. Step 6: Final answer
    x = 138.03

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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.