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Finding the Fourth Proportional to 13.97, 19.24 and 13.64

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Solution

The fourth proportional to 13.97, 19.24 and 13.64 is: 18.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.97 : 19.24 = 13.64 : x
  2. Step 2: Convert to fraction form
    13.97/19.24 = 13.64/x
  3. Step 3: Cross multiply
    13.97x = 19.24 × 13.64
  4. Step 4: Simplify right side
    13.97x = 262.30
  5. Step 5: Solve for x
    x = 262.30/13.97
  6. Step 6: Final answer
    x = 18.77

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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.