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Finding the Fourth Proportional to 69.95, 95.98 and 68.23

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Solution

The fourth proportional to 69.95, 95.98 and 68.23 is: 93.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.95 : 95.98 = 68.23 : x
  2. Step 2: Convert to fraction form
    69.95/95.98 = 68.23/x
  3. Step 3: Cross multiply
    69.95x = 95.98 × 68.23
  4. Step 4: Simplify right side
    69.95x = 6,548.30
  5. Step 5: Solve for x
    x = 6,548.30/69.95
  6. Step 6: Final answer
    x = 93.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.