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Finding the Fourth Proportional to 50.11, 68.78 and 42.82

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Solution

The fourth proportional to 50.11, 68.78 and 42.82 is: 58.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.11 : 68.78 = 42.82 : x
  2. Step 2: Convert to fraction form
    50.11/68.78 = 42.82/x
  3. Step 3: Cross multiply
    50.11x = 68.78 × 42.82
  4. Step 4: Simplify right side
    50.11x = 2,945.16
  5. Step 5: Solve for x
    x = 2,945.16/50.11
  6. Step 6: Final answer
    x = 58.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.