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Finding the Fourth Proportional to 37.69, 56.49 and 13.63

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Solution

The fourth proportional to 37.69, 56.49 and 13.63 is: 20.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.69 : 56.49 = 13.63 : x
  2. Step 2: Convert to fraction form
    37.69/56.49 = 13.63/x
  3. Step 3: Cross multiply
    37.69x = 56.49 × 13.63
  4. Step 4: Simplify right side
    37.69x = 770.13
  5. Step 5: Solve for x
    x = 770.13/37.69
  6. Step 6: Final answer
    x = 20.43

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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.