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Finding the Fourth Proportional to 13.56, 20.24 and 11.76

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Solution

The fourth proportional to 13.56, 20.24 and 11.76 is: 17.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.56 : 20.24 = 11.76 : x
  2. Step 2: Convert to fraction form
    13.56/20.24 = 11.76/x
  3. Step 3: Cross multiply
    13.56x = 20.24 × 11.76
  4. Step 4: Simplify right side
    13.56x = 238.02
  5. Step 5: Solve for x
    x = 238.02/13.56
  6. Step 6: Final answer
    x = 17.55

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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.