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Finding the Fourth Proportional to 69.31, 103.96 and 47.64

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Solution

The fourth proportional to 69.31, 103.96 and 47.64 is: 71.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.31 : 103.96 = 47.64 : x
  2. Step 2: Convert to fraction form
    69.31/103.96 = 47.64/x
  3. Step 3: Cross multiply
    69.31x = 103.96 × 47.64
  4. Step 4: Simplify right side
    69.31x = 4,952.65
  5. Step 5: Solve for x
    x = 4,952.65/69.31
  6. Step 6: Final answer
    x = 71.46

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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.