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Finding the Fourth Proportional to 69.50, 95.91 and 46.54

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Solution

The fourth proportional to 69.50, 95.91 and 46.54 is: 64.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.50 : 95.91 = 46.54 : x
  2. Step 2: Convert to fraction form
    69.50/95.91 = 46.54/x
  3. Step 3: Cross multiply
    69.50x = 95.91 × 46.54
  4. Step 4: Simplify right side
    69.50x = 4,463.65
  5. Step 5: Solve for x
    x = 4,463.65/69.50
  6. Step 6: Final answer
    x = 64.23

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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.