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Finding the Fourth Proportional to 13.64, 18.82 and 10.42

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Solution

The fourth proportional to 13.64, 18.82 and 10.42 is: 14.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.64 : 18.82 = 10.42 : x
  2. Step 2: Convert to fraction form
    13.64/18.82 = 10.42/x
  3. Step 3: Cross multiply
    13.64x = 18.82 × 10.42
  4. Step 4: Simplify right side
    13.64x = 196.10
  5. Step 5: Solve for x
    x = 196.10/13.64
  6. Step 6: Final answer
    x = 14.38

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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.