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Finding the Fourth Proportional to 33.71, 50.56 and 9.66

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Solution

The fourth proportional to 33.71, 50.56 and 9.66 is: 14.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.71 : 50.56 = 9.66 : x
  2. Step 2: Convert to fraction form
    33.71/50.56 = 9.66/x
  3. Step 3: Cross multiply
    33.71x = 50.56 × 9.66
  4. Step 4: Simplify right side
    33.71x = 488.16
  5. Step 5: Solve for x
    x = 488.16/33.71
  6. Step 6: Final answer
    x = 14.48

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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.