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Finding the Fourth Proportional to 36.40, 54.51 and 31.87

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Solution

The fourth proportional to 36.40, 54.51 and 31.87 is: 47.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.40 : 54.51 = 31.87 : x
  2. Step 2: Convert to fraction form
    36.40/54.51 = 31.87/x
  3. Step 3: Cross multiply
    36.40x = 54.51 × 31.87
  4. Step 4: Simplify right side
    36.40x = 1,737.23
  5. Step 5: Solve for x
    x = 1,737.23/36.40
  6. Step 6: Final answer
    x = 47.73

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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.