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Finding the Fourth Proportional to 47.72, 65.82 and 31.11

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Solution

The fourth proportional to 47.72, 65.82 and 31.11 is: 42.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.72 : 65.82 = 31.11 : x
  2. Step 2: Convert to fraction form
    47.72/65.82 = 31.11/x
  3. Step 3: Cross multiply
    47.72x = 65.82 × 31.11
  4. Step 4: Simplify right side
    47.72x = 2,047.66
  5. Step 5: Solve for x
    x = 2,047.66/47.72
  6. Step 6: Final answer
    x = 42.91

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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.