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Finding the Fourth Proportional to 21.62, 32.24 and 21.38

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Solution

The fourth proportional to 21.62, 32.24 and 21.38 is: 31.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.62 : 32.24 = 21.38 : x
  2. Step 2: Convert to fraction form
    21.62/32.24 = 21.38/x
  3. Step 3: Cross multiply
    21.62x = 32.24 × 21.38
  4. Step 4: Simplify right side
    21.62x = 689.29
  5. Step 5: Solve for x
    x = 689.29/21.62
  6. Step 6: Final answer
    x = 31.88

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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.