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Finding the Fourth Proportional to 109.09, 163.82 and 89.83

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Solution

The fourth proportional to 109.09, 163.82 and 89.83 is: 134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.09 : 163.82 = 89.83 : x
  2. Step 2: Convert to fraction form
    109.09/163.82 = 89.83/x
  3. Step 3: Cross multiply
    109.09x = 163.82 × 89.83
  4. Step 4: Simplify right side
    109.09x = 14,715.95
  5. Step 5: Solve for x
    x = 14,715.95/109.09
  6. Step 6: Final answer
    x = 134.90

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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.