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Finding the Fourth Proportional to 13.42, 20.16 and 9.46

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Solution

The fourth proportional to 13.42, 20.16 and 9.46 is: 14.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.42 : 20.16 = 9.46 : x
  2. Step 2: Convert to fraction form
    13.42/20.16 = 9.46/x
  3. Step 3: Cross multiply
    13.42x = 20.16 × 9.46
  4. Step 4: Simplify right side
    13.42x = 190.71
  5. Step 5: Solve for x
    x = 190.71/13.42
  6. Step 6: Final answer
    x = 14.21

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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.