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Finding the Fourth Proportional to 111.67, 166.81 and 109.75

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Solution

The fourth proportional to 111.67, 166.81 and 109.75 is: 163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.67 : 166.81 = 109.75 : x
  2. Step 2: Convert to fraction form
    111.67/166.81 = 109.75/x
  3. Step 3: Cross multiply
    111.67x = 166.81 × 109.75
  4. Step 4: Simplify right side
    111.67x = 18,307.40
  5. Step 5: Solve for x
    x = 18,307.40/111.67
  6. Step 6: Final answer
    x = 163.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.