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Finding the Fourth Proportional to 37.91, 56.87 and 31.16

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Solution

The fourth proportional to 37.91, 56.87 and 31.16 is: 46.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.91 : 56.87 = 31.16 : x
  2. Step 2: Convert to fraction form
    37.91/56.87 = 31.16/x
  3. Step 3: Cross multiply
    37.91x = 56.87 × 31.16
  4. Step 4: Simplify right side
    37.91x = 1,772.07
  5. Step 5: Solve for x
    x = 1,772.07/37.91
  6. Step 6: Final answer
    x = 46.74

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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.