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Finding the Fourth Proportional to 23.32, 35.17 and 21.82

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Solution

The fourth proportional to 23.32, 35.17 and 21.82 is: 32.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.32 : 35.17 = 21.82 : x
  2. Step 2: Convert to fraction form
    23.32/35.17 = 21.82/x
  3. Step 3: Cross multiply
    23.32x = 35.17 × 21.82
  4. Step 4: Simplify right side
    23.32x = 767.41
  5. Step 5: Solve for x
    x = 767.41/23.32
  6. Step 6: Final answer
    x = 32.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.