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Finding the Fourth Proportional to 81.43, 121.96 and 49.30

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Solution

The fourth proportional to 81.43, 121.96 and 49.30 is: 73.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.43 : 121.96 = 49.30 : x
  2. Step 2: Convert to fraction form
    81.43/121.96 = 49.30/x
  3. Step 3: Cross multiply
    81.43x = 121.96 × 49.30
  4. Step 4: Simplify right side
    81.43x = 6,012.63
  5. Step 5: Solve for x
    x = 6,012.63/81.43
  6. Step 6: Final answer
    x = 73.84

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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.