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Finding the Fourth Proportional to 24.13, 36.19 and 8.10

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Solution

The fourth proportional to 24.13, 36.19 and 8.10 is: 12.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.13 : 36.19 = 8.10 : x
  2. Step 2: Convert to fraction form
    24.13/36.19 = 8.10/x
  3. Step 3: Cross multiply
    24.13x = 36.19 × 8.10
  4. Step 4: Simplify right side
    24.13x = 292.94
  5. Step 5: Solve for x
    x = 292.94/24.13
  6. Step 6: Final answer
    x = 12.14

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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.