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Finding the Fourth Proportional to 70.12, 105.11 and 33.54

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Solution

The fourth proportional to 70.12, 105.11 and 33.54 is: 50.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.12 : 105.11 = 33.54 : x
  2. Step 2: Convert to fraction form
    70.12/105.11 = 33.54/x
  3. Step 3: Cross multiply
    70.12x = 105.11 × 33.54
  4. Step 4: Simplify right side
    70.12x = 3,525.65
  5. Step 5: Solve for x
    x = 3,525.65/70.12
  6. Step 6: Final answer
    x = 50.28

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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.