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Finding the Fourth Proportional to 67.78, 102.06 and 49.87

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Solution

The fourth proportional to 67.78, 102.06 and 49.87 is: 75.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.78 : 102.06 = 49.87 : x
  2. Step 2: Convert to fraction form
    67.78/102.06 = 49.87/x
  3. Step 3: Cross multiply
    67.78x = 102.06 × 49.87
  4. Step 4: Simplify right side
    67.78x = 5,089.73
  5. Step 5: Solve for x
    x = 5,089.73/67.78
  6. Step 6: Final answer
    x = 75.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.