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Finding the Fourth Proportional to 13.56, 18.68 and 12.46

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Solution

The fourth proportional to 13.56, 18.68 and 12.46 is: 17.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.56 : 18.68 = 12.46 : x
  2. Step 2: Convert to fraction form
    13.56/18.68 = 12.46/x
  3. Step 3: Cross multiply
    13.56x = 18.68 × 12.46
  4. Step 4: Simplify right side
    13.56x = 232.75
  5. Step 5: Solve for x
    x = 232.75/13.56
  6. Step 6: Final answer
    x = 17.16

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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.