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Finding the Fourth Proportional to 22.83, 34.05 and 21.41

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Solution

The fourth proportional to 22.83, 34.05 and 21.41 is: 31.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.83 : 34.05 = 21.41 : x
  2. Step 2: Convert to fraction form
    22.83/34.05 = 21.41/x
  3. Step 3: Cross multiply
    22.83x = 34.05 × 21.41
  4. Step 4: Simplify right side
    22.83x = 729.01
  5. Step 5: Solve for x
    x = 729.01/22.83
  6. Step 6: Final answer
    x = 31.93

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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.