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Finding the Fourth Proportional to 24.27, 36.38 and 19.50

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Solution

The fourth proportional to 24.27, 36.38 and 19.50 is: 29.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.27 : 36.38 = 19.50 : x
  2. Step 2: Convert to fraction form
    24.27/36.38 = 19.50/x
  3. Step 3: Cross multiply
    24.27x = 36.38 × 19.50
  4. Step 4: Simplify right side
    24.27x = 709.41
  5. Step 5: Solve for x
    x = 709.41/24.27
  6. Step 6: Final answer
    x = 29.23

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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.