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Finding the Fourth Proportional to 68.70, 93.96 and 67.64

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Solution

The fourth proportional to 68.70, 93.96 and 67.64 is: 92.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.70 : 93.96 = 67.64 : x
  2. Step 2: Convert to fraction form
    68.70/93.96 = 67.64/x
  3. Step 3: Cross multiply
    68.70x = 93.96 × 67.64
  4. Step 4: Simplify right side
    68.70x = 6,355.45
  5. Step 5: Solve for x
    x = 6,355.45/68.70
  6. Step 6: Final answer
    x = 92.51

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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.