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Finding the Fourth Proportional to 33.05, 49.57 and 9.00

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Solution

The fourth proportional to 33.05, 49.57 and 9.00 is: 13.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.05 : 49.57 = 9.00 : x
  2. Step 2: Convert to fraction form
    33.05/49.57 = 9.00/x
  3. Step 3: Cross multiply
    33.05x = 49.57 × 9.00
  4. Step 4: Simplify right side
    33.05x = 445.92
  5. Step 5: Solve for x
    x = 445.92/33.05
  6. Step 6: Final answer
    x = 13.49

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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.