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Finding the Fourth Proportional to 33.96, 50.94 and 32.64

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Solution

The fourth proportional to 33.96, 50.94 and 32.64 is: 48.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.96 : 50.94 = 32.64 : x
  2. Step 2: Convert to fraction form
    33.96/50.94 = 32.64/x
  3. Step 3: Cross multiply
    33.96x = 50.94 × 32.64
  4. Step 4: Simplify right side
    33.96x = 1,662.68
  5. Step 5: Solve for x
    x = 1,662.68/33.96
  6. Step 6: Final answer
    x = 48.96

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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.