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Finding the Fourth Proportional to 109.91, 165.11 and 67.19

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Solution

The fourth proportional to 109.91, 165.11 and 67.19 is: 100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.91 : 165.11 = 67.19 : x
  2. Step 2: Convert to fraction form
    109.91/165.11 = 67.19/x
  3. Step 3: Cross multiply
    109.91x = 165.11 × 67.19
  4. Step 4: Simplify right side
    109.91x = 11,093.74
  5. Step 5: Solve for x
    x = 11,093.74/109.91
  6. Step 6: Final answer
    x = 100.93

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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.