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Finding the Fourth Proportional to 47.74, 65.86 and 31.96

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Solution

The fourth proportional to 47.74, 65.86 and 31.96 is: 44.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.74 : 65.86 = 31.96 : x
  2. Step 2: Convert to fraction form
    47.74/65.86 = 31.96/x
  3. Step 3: Cross multiply
    47.74x = 65.86 × 31.96
  4. Step 4: Simplify right side
    47.74x = 2,104.72
  5. Step 5: Solve for x
    x = 2,104.72/47.74
  6. Step 6: Final answer
    x = 44.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.