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Finding the Fourth Proportional to 109.50, 164.22 and 32.44

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Solution

The fourth proportional to 109.50, 164.22 and 32.44 is: 48.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.50 : 164.22 = 32.44 : x
  2. Step 2: Convert to fraction form
    109.50/164.22 = 32.44/x
  3. Step 3: Cross multiply
    109.50x = 164.22 × 32.44
  4. Step 4: Simplify right side
    109.50x = 5,328.14
  5. Step 5: Solve for x
    x = 5,328.14/109.50
  6. Step 6: Final answer
    x = 48.66

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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.