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Finding the Fourth Proportional to 20.97, 31.40 and 16.14

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Solution

The fourth proportional to 20.97, 31.40 and 16.14 is: 24.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.97 : 31.40 = 16.14 : x
  2. Step 2: Convert to fraction form
    20.97/31.40 = 16.14/x
  3. Step 3: Cross multiply
    20.97x = 31.40 × 16.14
  4. Step 4: Simplify right side
    20.97x = 506.72
  5. Step 5: Solve for x
    x = 506.72/20.97
  6. Step 6: Final answer
    x = 24.16

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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.