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Finding the Fourth Proportional to 109.23, 163.64 and 105.80

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Solution

The fourth proportional to 109.23, 163.64 and 105.80 is: 158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.23 : 163.64 = 105.80 : x
  2. Step 2: Convert to fraction form
    109.23/163.64 = 105.80/x
  3. Step 3: Cross multiply
    109.23x = 163.64 × 105.80
  4. Step 4: Simplify right side
    109.23x = 17,311.76
  5. Step 5: Solve for x
    x = 17,311.76/109.23
  6. Step 6: Final answer
    x = 158.49

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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.