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Finding the Fourth Proportional to 109.65, 164.26 and 105.99

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Solution

The fourth proportional to 109.65, 164.26 and 105.99 is: 158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.65 : 164.26 = 105.99 : x
  2. Step 2: Convert to fraction form
    109.65/164.26 = 105.99/x
  3. Step 3: Cross multiply
    109.65x = 164.26 × 105.99
  4. Step 4: Simplify right side
    109.65x = 17,409.43
  5. Step 5: Solve for x
    x = 17,409.43/109.65
  6. Step 6: Final answer
    x = 158.78

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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.