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Finding the Fourth Proportional to 110.90, 167.22 and 109.72

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Solution

The fourth proportional to 110.90, 167.22 and 109.72 is: 165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.90 : 167.22 = 109.72 : x
  2. Step 2: Convert to fraction form
    110.90/167.22 = 109.72/x
  3. Step 3: Cross multiply
    110.90x = 167.22 × 109.72
  4. Step 4: Simplify right side
    110.90x = 18,347.38
  5. Step 5: Solve for x
    x = 18,347.38/110.90
  6. Step 6: Final answer
    x = 165.44

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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.