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Finding the Fourth Proportional to 110.85, 166.34 and 50.03

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Solution

The fourth proportional to 110.85, 166.34 and 50.03 is: 75.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.85 : 166.34 = 50.03 : x
  2. Step 2: Convert to fraction form
    110.85/166.34 = 50.03/x
  3. Step 3: Cross multiply
    110.85x = 166.34 × 50.03
  4. Step 4: Simplify right side
    110.85x = 8,320.91
  5. Step 5: Solve for x
    x = 8,320.91/110.85
  6. Step 6: Final answer
    x = 75.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.