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Finding the Fourth Proportional to 23.91, 33.02 and 23.21

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Solution

The fourth proportional to 23.91, 33.02 and 23.21 is: 32.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.91 : 33.02 = 23.21 : x
  2. Step 2: Convert to fraction form
    23.91/33.02 = 23.21/x
  3. Step 3: Cross multiply
    23.91x = 33.02 × 23.21
  4. Step 4: Simplify right side
    23.91x = 766.39
  5. Step 5: Solve for x
    x = 766.39/23.91
  6. Step 6: Final answer
    x = 32.05

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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.