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Finding the Fourth Proportional to 69.07, 95.33 and 46.97

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Solution

The fourth proportional to 69.07, 95.33 and 46.97 is: 64.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.07 : 95.33 = 46.97 : x
  2. Step 2: Convert to fraction form
    69.07/95.33 = 46.97/x
  3. Step 3: Cross multiply
    69.07x = 95.33 × 46.97
  4. Step 4: Simplify right side
    69.07x = 4,476.94
  5. Step 5: Solve for x
    x = 4,476.94/69.07
  6. Step 6: Final answer
    x = 64.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.