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Finding the Fourth Proportional to 68.08, 93.79 and 55.78

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Solution

The fourth proportional to 68.08, 93.79 and 55.78 is: 76.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.08 : 93.79 = 55.78 : x
  2. Step 2: Convert to fraction form
    68.08/93.79 = 55.78/x
  3. Step 3: Cross multiply
    68.08x = 93.79 × 55.78
  4. Step 4: Simplify right side
    68.08x = 5,231.61
  5. Step 5: Solve for x
    x = 5,231.61/68.08
  6. Step 6: Final answer
    x = 76.84

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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.