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Finding the Fourth Proportional to 47.57, 71.37 and 31.37

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Solution

The fourth proportional to 47.57, 71.37 and 31.37 is: 47.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.57 : 71.37 = 31.37 : x
  2. Step 2: Convert to fraction form
    47.57/71.37 = 31.37/x
  3. Step 3: Cross multiply
    47.57x = 71.37 × 31.37
  4. Step 4: Simplify right side
    47.57x = 2,238.52
  5. Step 5: Solve for x
    x = 2,238.52/47.57
  6. Step 6: Final answer
    x = 47.06

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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.