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Finding the Fourth Proportional to 69.67, 96.17 and 47.89

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Solution

The fourth proportional to 69.67, 96.17 and 47.89 is: 66.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.67 : 96.17 = 47.89 : x
  2. Step 2: Convert to fraction form
    69.67/96.17 = 47.89/x
  3. Step 3: Cross multiply
    69.67x = 96.17 × 47.89
  4. Step 4: Simplify right side
    69.67x = 4,605.58
  5. Step 5: Solve for x
    x = 4,605.58/69.67
  6. Step 6: Final answer
    x = 66.11

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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.