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Finding the Fourth Proportional to 132.12, 199.07 and 110.88

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Solution

The fourth proportional to 132.12, 199.07 and 110.88 is: 167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.12 : 199.07 = 110.88 : x
  2. Step 2: Convert to fraction form
    132.12/199.07 = 110.88/x
  3. Step 3: Cross multiply
    132.12x = 199.07 × 110.88
  4. Step 4: Simplify right side
    132.12x = 22,072.33
  5. Step 5: Solve for x
    x = 22,072.33/132.12
  6. Step 6: Final answer
    x = 167.06

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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.