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Finding the Fourth Proportional to 68.08, 93.47 and 64

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Solution

The fourth proportional to 68.08, 93.47 and 64 is: 87.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.08 : 93.47 = 64 : x
  2. Step 2: Convert to fraction form
    68.08/93.47 = 64/x
  3. Step 3: Cross multiply
    68.08x = 93.47 × 64
  4. Step 4: Simplify right side
    68.08x = 5,982.08
  5. Step 5: Solve for x
    x = 5,982.08/68.08
  6. Step 6: Final answer
    x = 87.87

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