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Finding the Fourth Proportional to 49.21, 73.70 and 29.96

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Solution

The fourth proportional to 49.21, 73.70 and 29.96 is: 44.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.21 : 73.70 = 29.96 : x
  2. Step 2: Convert to fraction form
    49.21/73.70 = 29.96/x
  3. Step 3: Cross multiply
    49.21x = 73.70 × 29.96
  4. Step 4: Simplify right side
    49.21x = 2,207.78
  5. Step 5: Solve for x
    x = 2,207.78/49.21
  6. Step 6: Final answer
    x = 44.87

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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.