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Finding the Fourth Proportional to 70.35, 105.49 and 31.83

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Solution

The fourth proportional to 70.35, 105.49 and 31.83 is: 47.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.35 : 105.49 = 31.83 : x
  2. Step 2: Convert to fraction form
    70.35/105.49 = 31.83/x
  3. Step 3: Cross multiply
    70.35x = 105.49 × 31.83
  4. Step 4: Simplify right side
    70.35x = 3,357.75
  5. Step 5: Solve for x
    x = 3,357.75/70.35
  6. Step 6: Final answer
    x = 47.73

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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.