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Finding the Fourth Proportional to 37.20, 55.84 and 31.52

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Solution

The fourth proportional to 37.20, 55.84 and 31.52 is: 47.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.20 : 55.84 = 31.52 : x
  2. Step 2: Convert to fraction form
    37.20/55.84 = 31.52/x
  3. Step 3: Cross multiply
    37.20x = 55.84 × 31.52
  4. Step 4: Simplify right side
    37.20x = 1,760.08
  5. Step 5: Solve for x
    x = 1,760.08/37.20
  6. Step 6: Final answer
    x = 47.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.