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Finding the Fourth Proportional to 47.85, 71.84 and 42.97

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Solution

The fourth proportional to 47.85, 71.84 and 42.97 is: 64.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.85 : 71.84 = 42.97 : x
  2. Step 2: Convert to fraction form
    47.85/71.84 = 42.97/x
  3. Step 3: Cross multiply
    47.85x = 71.84 × 42.97
  4. Step 4: Simplify right side
    47.85x = 3,086.96
  5. Step 5: Solve for x
    x = 3,086.96/47.85
  6. Step 6: Final answer
    x = 64.51

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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.