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Finding the Fourth Proportional to 221.52, 332.36 and 107.52

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Solution

The fourth proportional to 221.52, 332.36 and 107.52 is: 161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.52 : 332.36 = 107.52 : x
  2. Step 2: Convert to fraction form
    221.52/332.36 = 107.52/x
  3. Step 3: Cross multiply
    221.52x = 332.36 × 107.52
  4. Step 4: Simplify right side
    221.52x = 35,735.35
  5. Step 5: Solve for x
    x = 35,735.35/221.52
  6. Step 6: Final answer
    x = 161.32

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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.