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Finding the Fourth Proportional to 21.97, 32.75 and 21.57

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Solution

The fourth proportional to 21.97, 32.75 and 21.57 is: 32.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.97 : 32.75 = 21.57 : x
  2. Step 2: Convert to fraction form
    21.97/32.75 = 21.57/x
  3. Step 3: Cross multiply
    21.97x = 32.75 × 21.57
  4. Step 4: Simplify right side
    21.97x = 706.39
  5. Step 5: Solve for x
    x = 706.39/21.97
  6. Step 6: Final answer
    x = 32.15

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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.