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Finding the Fourth Proportional to 13.52, 20.14 and 13.04

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Solution

The fourth proportional to 13.52, 20.14 and 13.04 is: 19.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.52 : 20.14 = 13.04 : x
  2. Step 2: Convert to fraction form
    13.52/20.14 = 13.04/x
  3. Step 3: Cross multiply
    13.52x = 20.14 × 13.04
  4. Step 4: Simplify right side
    13.52x = 262.63
  5. Step 5: Solve for x
    x = 262.63/13.52
  6. Step 6: Final answer
    x = 19.42

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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.