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Finding the Fourth Proportional to 11.13, 15.36 and 9.83

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Solution

The fourth proportional to 11.13, 15.36 and 9.83 is: 13.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.13 : 15.36 = 9.83 : x
  2. Step 2: Convert to fraction form
    11.13/15.36 = 9.83/x
  3. Step 3: Cross multiply
    11.13x = 15.36 × 9.83
  4. Step 4: Simplify right side
    11.13x = 151.03
  5. Step 5: Solve for x
    x = 151.03/11.13
  6. Step 6: Final answer
    x = 13.57

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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.