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Finding the Fourth Proportional to 24.92, 37.16 and 22.22

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Solution

The fourth proportional to 24.92, 37.16 and 22.22 is: 33.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.92 : 37.16 = 22.22 : x
  2. Step 2: Convert to fraction form
    24.92/37.16 = 22.22/x
  3. Step 3: Cross multiply
    24.92x = 37.16 × 22.22
  4. Step 4: Simplify right side
    24.92x = 825.70
  5. Step 5: Solve for x
    x = 825.70/24.92
  6. Step 6: Final answer
    x = 33.13

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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.