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Finding the Fourth Proportional to 50.68, 70.13 and 49.82

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Solution

The fourth proportional to 50.68, 70.13 and 49.82 is: 68.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.68 : 70.13 = 49.82 : x
  2. Step 2: Convert to fraction form
    50.68/70.13 = 49.82/x
  3. Step 3: Cross multiply
    50.68x = 70.13 × 49.82
  4. Step 4: Simplify right side
    50.68x = 3,493.88
  5. Step 5: Solve for x
    x = 3,493.88/50.68
  6. Step 6: Final answer
    x = 68.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.