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Finding the Fourth Proportional to 70.25, 105.33 and 49.91

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Solution

The fourth proportional to 70.25, 105.33 and 49.91 is: 74.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.25 : 105.33 = 49.91 : x
  2. Step 2: Convert to fraction form
    70.25/105.33 = 49.91/x
  3. Step 3: Cross multiply
    70.25x = 105.33 × 49.91
  4. Step 4: Simplify right side
    70.25x = 5,257.02
  5. Step 5: Solve for x
    x = 5,257.02/70.25
  6. Step 6: Final answer
    x = 74.83

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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.