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Finding the Fourth Proportional to 21.97, 30.32 and 12.14

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Solution

The fourth proportional to 21.97, 30.32 and 12.14 is: 16.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.97 : 30.32 = 12.14 : x
  2. Step 2: Convert to fraction form
    21.97/30.32 = 12.14/x
  3. Step 3: Cross multiply
    21.97x = 30.32 × 12.14
  4. Step 4: Simplify right side
    21.97x = 368.02
  5. Step 5: Solve for x
    x = 368.02/21.97
  6. Step 6: Final answer
    x = 16.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.