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Finding the Fourth Proportional to 24.14, 36.22 and 11.30

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Solution

The fourth proportional to 24.14, 36.22 and 11.30 is: 16.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.14 : 36.22 = 11.30 : x
  2. Step 2: Convert to fraction form
    24.14/36.22 = 11.30/x
  3. Step 3: Cross multiply
    24.14x = 36.22 × 11.30
  4. Step 4: Simplify right side
    24.14x = 409.39
  5. Step 5: Solve for x
    x = 409.39/24.14
  6. Step 6: Final answer
    x = 16.96

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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.