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Finding the Fourth Proportional to 13.53, 20.33 and 11.94

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Solution

The fourth proportional to 13.53, 20.33 and 11.94 is: 17.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.53 : 20.33 = 11.94 : x
  2. Step 2: Convert to fraction form
    13.53/20.33 = 11.94/x
  3. Step 3: Cross multiply
    13.53x = 20.33 × 11.94
  4. Step 4: Simplify right side
    13.53x = 242.65
  5. Step 5: Solve for x
    x = 242.65/13.53
  6. Step 6: Final answer
    x = 17.94

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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.