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Finding the Fourth Proportional to 37.54, 56.17 and 31.08

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Solution

The fourth proportional to 37.54, 56.17 and 31.08 is: 46.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.54 : 56.17 = 31.08 : x
  2. Step 2: Convert to fraction form
    37.54/56.17 = 31.08/x
  3. Step 3: Cross multiply
    37.54x = 56.17 × 31.08
  4. Step 4: Simplify right side
    37.54x = 1,745.76
  5. Step 5: Solve for x
    x = 1,745.76/37.54
  6. Step 6: Final answer
    x = 46.50

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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.