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Finding the Fourth Proportional to 13.05, 19.46 and 12.03

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Solution

The fourth proportional to 13.05, 19.46 and 12.03 is: 17.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.05 : 19.46 = 12.03 : x
  2. Step 2: Convert to fraction form
    13.05/19.46 = 12.03/x
  3. Step 3: Cross multiply
    13.05x = 19.46 × 12.03
  4. Step 4: Simplify right side
    13.05x = 234.04
  5. Step 5: Solve for x
    x = 234.04/13.05
  6. Step 6: Final answer
    x = 17.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.