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Finding the Fourth Proportional to 14.97, 22.42 and 13.49

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Solution

The fourth proportional to 14.97, 22.42 and 13.49 is: 20.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.97 : 22.42 = 13.49 : x
  2. Step 2: Convert to fraction form
    14.97/22.42 = 13.49/x
  3. Step 3: Cross multiply
    14.97x = 22.42 × 13.49
  4. Step 4: Simplify right side
    14.97x = 302.45
  5. Step 5: Solve for x
    x = 302.45/14.97
  6. Step 6: Final answer
    x = 20.20

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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.