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Finding the Fourth Proportional to 70.50, 105.78 and 27.78

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Solution

The fourth proportional to 70.50, 105.78 and 27.78 is: 41.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.50 : 105.78 = 27.78 : x
  2. Step 2: Convert to fraction form
    70.50/105.78 = 27.78/x
  3. Step 3: Cross multiply
    70.50x = 105.78 × 27.78
  4. Step 4: Simplify right side
    70.50x = 2,938.57
  5. Step 5: Solve for x
    x = 2,938.57/70.50
  6. Step 6: Final answer
    x = 41.68

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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.