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Finding the Fourth Proportional to 24.22, 33.00 and 23.73

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Solution

The fourth proportional to 24.22, 33.00 and 23.73 is: 32.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.22 : 33.00 = 23.73 : x
  2. Step 2: Convert to fraction form
    24.22/33.00 = 23.73/x
  3. Step 3: Cross multiply
    24.22x = 33.00 × 23.73
  4. Step 4: Simplify right side
    24.22x = 782.81
  5. Step 5: Solve for x
    x = 782.81/24.22
  6. Step 6: Final answer
    x = 32.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.