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Finding the Fourth Proportional to 37.05, 55.64 and 31.11

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Solution

The fourth proportional to 37.05, 55.64 and 31.11 is: 46.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.05 : 55.64 = 31.11 : x
  2. Step 2: Convert to fraction form
    37.05/55.64 = 31.11/x
  3. Step 3: Cross multiply
    37.05x = 55.64 × 31.11
  4. Step 4: Simplify right side
    37.05x = 1,730.96
  5. Step 5: Solve for x
    x = 1,730.96/37.05
  6. Step 6: Final answer
    x = 46.72

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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.