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Finding the Fourth Proportional to 109.29, 163.90 and 32.24

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Solution

The fourth proportional to 109.29, 163.90 and 32.24 is: 48.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.29 : 163.90 = 32.24 : x
  2. Step 2: Convert to fraction form
    109.29/163.90 = 32.24/x
  3. Step 3: Cross multiply
    109.29x = 163.90 × 32.24
  4. Step 4: Simplify right side
    109.29x = 5,283.16
  5. Step 5: Solve for x
    x = 5,283.16/109.29
  6. Step 6: Final answer
    x = 48.34

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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.