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Finding the Fourth Proportional to 69.34, 95.70 and 67.82

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Solution

The fourth proportional to 69.34, 95.70 and 67.82 is: 93.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.34 : 95.70 = 67.82 : x
  2. Step 2: Convert to fraction form
    69.34/95.70 = 67.82/x
  3. Step 3: Cross multiply
    69.34x = 95.70 × 67.82
  4. Step 4: Simplify right side
    69.34x = 6,490.37
  5. Step 5: Solve for x
    x = 6,490.37/69.34
  6. Step 6: Final answer
    x = 93.60

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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.