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Finding the Fourth Proportional to 109.57, 164.23 and 83.81

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Solution

The fourth proportional to 109.57, 164.23 and 83.81 is: 125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.57 : 164.23 = 83.81 : x
  2. Step 2: Convert to fraction form
    109.57/164.23 = 83.81/x
  3. Step 3: Cross multiply
    109.57x = 164.23 × 83.81
  4. Step 4: Simplify right side
    109.57x = 13,764.12
  5. Step 5: Solve for x
    x = 13,764.12/109.57
  6. Step 6: Final answer
    x = 125.62

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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.