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Finding the Fourth Proportional to 81.08, 121.50 and 32.96

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Solution

The fourth proportional to 81.08, 121.50 and 32.96 is: 49.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.08 : 121.50 = 32.96 : x
  2. Step 2: Convert to fraction form
    81.08/121.50 = 32.96/x
  3. Step 3: Cross multiply
    81.08x = 121.50 × 32.96
  4. Step 4: Simplify right side
    81.08x = 4,004.64
  5. Step 5: Solve for x
    x = 4,004.64/81.08
  6. Step 6: Final answer
    x = 49.39

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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.