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Finding the Fourth Proportional to 109.21, 163.82 and 32.17

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Solution

The fourth proportional to 109.21, 163.82 and 32.17 is: 48.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.21 : 163.82 = 32.17 : x
  2. Step 2: Convert to fraction form
    109.21/163.82 = 32.17/x
  3. Step 3: Cross multiply
    109.21x = 163.82 × 32.17
  4. Step 4: Simplify right side
    109.21x = 5,270.50
  5. Step 5: Solve for x
    x = 5,270.50/109.21
  6. Step 6: Final answer
    x = 48.26

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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.