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Finding the Fourth Proportional to 109.50, 164.14 and 82.03

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Solution

The fourth proportional to 109.50, 164.14 and 82.03 is: 122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.50 : 164.14 = 82.03 : x
  2. Step 2: Convert to fraction form
    109.50/164.14 = 82.03/x
  3. Step 3: Cross multiply
    109.50x = 164.14 × 82.03
  4. Step 4: Simplify right side
    109.50x = 13,464.56
  5. Step 5: Solve for x
    x = 13,464.56/109.50
  6. Step 6: Final answer
    x = 122.96

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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.