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Finding the Fourth Proportional to 110.48, 166.97 and 109.26

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Solution

The fourth proportional to 110.48, 166.97 and 109.26 is: 165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.48 : 166.97 = 109.26 : x
  2. Step 2: Convert to fraction form
    110.48/166.97 = 109.26/x
  3. Step 3: Cross multiply
    110.48x = 166.97 × 109.26
  4. Step 4: Simplify right side
    110.48x = 18,242.60
  5. Step 5: Solve for x
    x = 18,242.60/110.48
  6. Step 6: Final answer
    x = 165.13

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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.