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Finding the Fourth Proportional to 109.53, 164.26 and 44.50

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Solution

The fourth proportional to 109.53, 164.26 and 44.50 is: 66.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.53 : 164.26 = 44.50 : x
  2. Step 2: Convert to fraction form
    109.53/164.26 = 44.50/x
  3. Step 3: Cross multiply
    109.53x = 164.26 × 44.50
  4. Step 4: Simplify right side
    109.53x = 7,309.57
  5. Step 5: Solve for x
    x = 7,309.57/109.53
  6. Step 6: Final answer
    x = 66.74

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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.