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Finding the Fourth Proportional to 37.76, 56.62 and 16.38

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Solution

The fourth proportional to 37.76, 56.62 and 16.38 is: 24.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.76 : 56.62 = 16.38 : x
  2. Step 2: Convert to fraction form
    37.76/56.62 = 16.38/x
  3. Step 3: Cross multiply
    37.76x = 56.62 × 16.38
  4. Step 4: Simplify right side
    37.76x = 927.44
  5. Step 5: Solve for x
    x = 927.44/37.76
  6. Step 6: Final answer
    x = 24.56

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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.