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Finding the Fourth Proportional to 24.05, 35.82 and 22.96

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Solution

The fourth proportional to 24.05, 35.82 and 22.96 is: 34.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.05 : 35.82 = 22.96 : x
  2. Step 2: Convert to fraction form
    24.05/35.82 = 22.96/x
  3. Step 3: Cross multiply
    24.05x = 35.82 × 22.96
  4. Step 4: Simplify right side
    24.05x = 822.27
  5. Step 5: Solve for x
    x = 822.27/24.05
  6. Step 6: Final answer
    x = 34.19

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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.