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Finding the Fourth Proportional to 110.88, 167.08 and 106.40

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Solution

The fourth proportional to 110.88, 167.08 and 106.40 is: 160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.88 : 167.08 = 106.40 : x
  2. Step 2: Convert to fraction form
    110.88/167.08 = 106.40/x
  3. Step 3: Cross multiply
    110.88x = 167.08 × 106.40
  4. Step 4: Simplify right side
    110.88x = 17,777.31
  5. Step 5: Solve for x
    x = 17,777.31/110.88
  6. Step 6: Final answer
    x = 160.33

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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.