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Finding the Fourth Proportional to 68.33, 102.50 and 27.78

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Solution

The fourth proportional to 68.33, 102.50 and 27.78 is: 41.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.33 : 102.50 = 27.78 : x
  2. Step 2: Convert to fraction form
    68.33/102.50 = 27.78/x
  3. Step 3: Cross multiply
    68.33x = 102.50 × 27.78
  4. Step 4: Simplify right side
    68.33x = 2,847.45
  5. Step 5: Solve for x
    x = 2,847.45/68.33
  6. Step 6: Final answer
    x = 41.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.