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Finding the Fourth Proportional to 23.41, 32.30 and 21.69

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Solution

The fourth proportional to 23.41, 32.30 and 21.69 is: 29.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.41 : 32.30 = 21.69 : x
  2. Step 2: Convert to fraction form
    23.41/32.30 = 21.69/x
  3. Step 3: Cross multiply
    23.41x = 32.30 × 21.69
  4. Step 4: Simplify right side
    23.41x = 700.56
  5. Step 5: Solve for x
    x = 700.56/23.41
  6. Step 6: Final answer
    x = 29.92

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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.