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Finding the Fourth Proportional to 47.82, 71.70 and 29.78

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Solution

The fourth proportional to 47.82, 71.70 and 29.78 is: 44.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.82 : 71.70 = 29.78 : x
  2. Step 2: Convert to fraction form
    47.82/71.70 = 29.78/x
  3. Step 3: Cross multiply
    47.82x = 71.70 × 29.78
  4. Step 4: Simplify right side
    47.82x = 2,135.23
  5. Step 5: Solve for x
    x = 2,135.23/47.82
  6. Step 6: Final answer
    x = 44.65

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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.