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Finding the Fourth Proportional to 49.61, 68.31 and 47.05

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Solution

The fourth proportional to 49.61, 68.31 and 47.05 is: 64.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.61 : 68.31 = 47.05 : x
  2. Step 2: Convert to fraction form
    49.61/68.31 = 47.05/x
  3. Step 3: Cross multiply
    49.61x = 68.31 × 47.05
  4. Step 4: Simplify right side
    49.61x = 3,213.76
  5. Step 5: Solve for x
    x = 3,213.76/49.61
  6. Step 6: Final answer
    x = 64.78

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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.