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Finding the Fourth Proportional to 13.42, 19.96 and 13.06

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Solution

The fourth proportional to 13.42, 19.96 and 13.06 is: 19.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.42 : 19.96 = 13.06 : x
  2. Step 2: Convert to fraction form
    13.42/19.96 = 13.06/x
  3. Step 3: Cross multiply
    13.42x = 19.96 × 13.06
  4. Step 4: Simplify right side
    13.42x = 260.68
  5. Step 5: Solve for x
    x = 260.68/13.42
  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.