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Finding the Fourth Proportional to 70.22, 105.45 and 41.78

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Solution

The fourth proportional to 70.22, 105.45 and 41.78 is: 62.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.22 : 105.45 = 41.78 : x
  2. Step 2: Convert to fraction form
    70.22/105.45 = 41.78/x
  3. Step 3: Cross multiply
    70.22x = 105.45 × 41.78
  4. Step 4: Simplify right side
    70.22x = 4,405.70
  5. Step 5: Solve for x
    x = 4,405.70/70.22
  6. Step 6: Final answer
    x = 62.74

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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.