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Finding the Fourth Proportional to 69.73, 96.19 and 47.86

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Solution

The fourth proportional to 69.73, 96.19 and 47.86 is: 66.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.73 : 96.19 = 47.86 : x
  2. Step 2: Convert to fraction form
    69.73/96.19 = 47.86/x
  3. Step 3: Cross multiply
    69.73x = 96.19 × 47.86
  4. Step 4: Simplify right side
    69.73x = 4,603.29
  5. Step 5: Solve for x
    x = 4,603.29/69.73
  6. Step 6: Final answer
    x = 66.02

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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.