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Finding the Fourth Proportional to 37.93, 52.32 and 31.87

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Solution

The fourth proportional to 37.93, 52.32 and 31.87 is: 43.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.93 : 52.32 = 31.87 : x
  2. Step 2: Convert to fraction form
    37.93/52.32 = 31.87/x
  3. Step 3: Cross multiply
    37.93x = 52.32 × 31.87
  4. Step 4: Simplify right side
    37.93x = 1,667.44
  5. Step 5: Solve for x
    x = 1,667.44/37.93
  6. Step 6: Final answer
    x = 43.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.