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Finding the Fourth Proportional to 21.97, 32.82 and 21.06

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Solution

The fourth proportional to 21.97, 32.82 and 21.06 is: 31.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.97 : 32.82 = 21.06 : x
  2. Step 2: Convert to fraction form
    21.97/32.82 = 21.06/x
  3. Step 3: Cross multiply
    21.97x = 32.82 × 21.06
  4. Step 4: Simplify right side
    21.97x = 691.23
  5. Step 5: Solve for x
    x = 691.23/21.97
  6. Step 6: Final answer
    x = 31.46

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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.