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Finding the Fourth Proportional to 13.42, 20.14 and 10.24

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Solution

The fourth proportional to 13.42, 20.14 and 10.24 is: 15.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.42 : 20.14 = 10.24 : x
  2. Step 2: Convert to fraction form
    13.42/20.14 = 10.24/x
  3. Step 3: Cross multiply
    13.42x = 20.14 × 10.24
  4. Step 4: Simplify right side
    13.42x = 206.23
  5. Step 5: Solve for x
    x = 206.23/13.42
  6. Step 6: Final answer
    x = 15.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.