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Finding the Fourth Proportional to 24.25, 36.29 and 22.94

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Solution

The fourth proportional to 24.25, 36.29 and 22.94 is: 34.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.25 : 36.29 = 22.94 : x
  2. Step 2: Convert to fraction form
    24.25/36.29 = 22.94/x
  3. Step 3: Cross multiply
    24.25x = 36.29 × 22.94
  4. Step 4: Simplify right side
    24.25x = 832.49
  5. Step 5: Solve for x
    x = 832.49/24.25
  6. Step 6: Final answer
    x = 34.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.