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Finding the Fourth Proportional to 70.94, 106.44 and 29.83

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Solution

The fourth proportional to 70.94, 106.44 and 29.83 is: 44.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.94 : 106.44 = 29.83 : x
  2. Step 2: Convert to fraction form
    70.94/106.44 = 29.83/x
  3. Step 3: Cross multiply
    70.94x = 106.44 × 29.83
  4. Step 4: Simplify right side
    70.94x = 3,174.96
  5. Step 5: Solve for x
    x = 3,174.96/70.94
  6. Step 6: Final answer
    x = 44.76

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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.