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Finding the Fourth Proportional to 11.99, 16.53 and 9.56

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Solution

The fourth proportional to 11.99, 16.53 and 9.56 is: 13.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.99 : 16.53 = 9.56 : x
  2. Step 2: Convert to fraction form
    11.99/16.53 = 9.56/x
  3. Step 3: Cross multiply
    11.99x = 16.53 × 9.56
  4. Step 4: Simplify right side
    11.99x = 157.94
  5. Step 5: Solve for x
    x = 157.94/11.99
  6. Step 6: Final answer
    x = 13.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.