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Finding the Fourth Proportional to 31.70, 47.37 and 27.16

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Solution

The fourth proportional to 31.70, 47.37 and 27.16 is: 40.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.70 : 47.37 = 27.16 : x
  2. Step 2: Convert to fraction form
    31.70/47.37 = 27.16/x
  3. Step 3: Cross multiply
    31.70x = 47.37 × 27.16
  4. Step 4: Simplify right side
    31.70x = 1,286.57
  5. Step 5: Solve for x
    x = 1,286.57/31.70
  6. Step 6: Final answer
    x = 40.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.