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Finding the Fourth Proportional to 11.96, 18.02 and 10.46

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Solution

The fourth proportional to 11.96, 18.02 and 10.46 is: 15.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.96 : 18.02 = 10.46 : x
  2. Step 2: Convert to fraction form
    11.96/18.02 = 10.46/x
  3. Step 3: Cross multiply
    11.96x = 18.02 × 10.46
  4. Step 4: Simplify right side
    11.96x = 188.49
  5. Step 5: Solve for x
    x = 188.49/11.96
  6. Step 6: Final answer
    x = 15.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.