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Finding the Fourth Proportional to 68.35, 93.68 and 67.54

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Solution

The fourth proportional to 68.35, 93.68 and 67.54 is: 92.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.35 : 93.68 = 67.54 : x
  2. Step 2: Convert to fraction form
    68.35/93.68 = 67.54/x
  3. Step 3: Cross multiply
    68.35x = 93.68 × 67.54
  4. Step 4: Simplify right side
    68.35x = 6,327.15
  5. Step 5: Solve for x
    x = 6,327.15/68.35
  6. Step 6: Final answer
    x = 92.57

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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.