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Finding the Fourth Proportional to 63.64, 95.09 and 47.44

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Solution

The fourth proportional to 63.64, 95.09 and 47.44 is: 70.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.64 : 95.09 = 47.44 : x
  2. Step 2: Convert to fraction form
    63.64/95.09 = 47.44/x
  3. Step 3: Cross multiply
    63.64x = 95.09 × 47.44
  4. Step 4: Simplify right side
    63.64x = 4,511.07
  5. Step 5: Solve for x
    x = 4,511.07/63.64
  6. Step 6: Final answer
    x = 70.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.