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Finding the Fourth Proportional to 24.69, 36.78 and 24.38

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Solution

The fourth proportional to 24.69, 36.78 and 24.38 is: 36.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.69 : 36.78 = 24.38 : x
  2. Step 2: Convert to fraction form
    24.69/36.78 = 24.38/x
  3. Step 3: Cross multiply
    24.69x = 36.78 × 24.38
  4. Step 4: Simplify right side
    24.69x = 896.70
  5. Step 5: Solve for x
    x = 896.70/24.69
  6. Step 6: Final answer
    x = 36.32

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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.