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Finding the Fourth Proportional to 24.19, 36.11 and 20.14

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Solution

The fourth proportional to 24.19, 36.11 and 20.14 is: 30.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.19 : 36.11 = 20.14 : x
  2. Step 2: Convert to fraction form
    24.19/36.11 = 20.14/x
  3. Step 3: Cross multiply
    24.19x = 36.11 × 20.14
  4. Step 4: Simplify right side
    24.19x = 727.26
  5. Step 5: Solve for x
    x = 727.26/24.19
  6. Step 6: Final answer
    x = 30.06

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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.