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Finding the Fourth Proportional to 47.77, 65.96 and 33.97

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Solution

The fourth proportional to 47.77, 65.96 and 33.97 is: 46.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.77 : 65.96 = 33.97 : x
  2. Step 2: Convert to fraction form
    47.77/65.96 = 33.97/x
  3. Step 3: Cross multiply
    47.77x = 65.96 × 33.97
  4. Step 4: Simplify right side
    47.77x = 2,240.66
  5. Step 5: Solve for x
    x = 2,240.66/47.77
  6. Step 6: Final answer
    x = 46.91

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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.