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Finding the Fourth Proportional to 47.46, 65.50 and 31.95

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Solution

The fourth proportional to 47.46, 65.50 and 31.95 is: 44.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.46 : 65.50 = 31.95 : x
  2. Step 2: Convert to fraction form
    47.46/65.50 = 31.95/x
  3. Step 3: Cross multiply
    47.46x = 65.50 × 31.95
  4. Step 4: Simplify right side
    47.46x = 2,092.73
  5. Step 5: Solve for x
    x = 2,092.73/47.46
  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.