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Finding the Fourth Proportional to 24.16, 36.23 and 8.12

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Solution

The fourth proportional to 24.16, 36.23 and 8.12 is: 12.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.16 : 36.23 = 8.12 : x
  2. Step 2: Convert to fraction form
    24.16/36.23 = 8.12/x
  3. Step 3: Cross multiply
    24.16x = 36.23 × 8.12
  4. Step 4: Simplify right side
    24.16x = 294.31
  5. Step 5: Solve for x
    x = 294.31/24.16
  6. Step 6: Final answer
    x = 12.18

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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.