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Finding the Fourth Proportional to 24.24, 36.11 and 24.11

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Solution

The fourth proportional to 24.24, 36.11 and 24.11 is: 35.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.24 : 36.11 = 24.11 : x
  2. Step 2: Convert to fraction form
    24.24/36.11 = 24.11/x
  3. Step 3: Cross multiply
    24.24x = 36.11 × 24.11
  4. Step 4: Simplify right side
    24.24x = 870.31
  5. Step 5: Solve for x
    x = 870.31/24.24
  6. Step 6: Final answer
    x = 35.90

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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.