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Finding the Fourth Proportional to 110.11, 165.13 and 82.68

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Solution

The fourth proportional to 110.11, 165.13 and 82.68 is: 123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.11 : 165.13 = 82.68 : x
  2. Step 2: Convert to fraction form
    110.11/165.13 = 82.68/x
  3. Step 3: Cross multiply
    110.11x = 165.13 × 82.68
  4. Step 4: Simplify right side
    110.11x = 13,652.95
  5. Step 5: Solve for x
    x = 13,652.95/110.11
  6. Step 6: Final answer
    x = 123.99

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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.