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Finding the Fourth Proportional to 24.07, 36.09 and 20.50

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Solution

The fourth proportional to 24.07, 36.09 and 20.50 is: 30.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.07 : 36.09 = 20.50 : x
  2. Step 2: Convert to fraction form
    24.07/36.09 = 20.50/x
  3. Step 3: Cross multiply
    24.07x = 36.09 × 20.50
  4. Step 4: Simplify right side
    24.07x = 739.85
  5. Step 5: Solve for x
    x = 739.85/24.07
  6. Step 6: Final answer
    x = 30.74

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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.