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Finding the Fourth Proportional to 37.92, 56.48 and 31.36

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Solution

The fourth proportional to 37.92, 56.48 and 31.36 is: 46.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.92 : 56.48 = 31.36 : x
  2. Step 2: Convert to fraction form
    37.92/56.48 = 31.36/x
  3. Step 3: Cross multiply
    37.92x = 56.48 × 31.36
  4. Step 4: Simplify right side
    37.92x = 1,771.21
  5. Step 5: Solve for x
    x = 1,771.21/37.92
  6. Step 6: Final answer
    x = 46.71

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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.