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Finding the Fourth Proportional to 50.92, 70.22 and 48.94

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Solution

The fourth proportional to 50.92, 70.22 and 48.94 is: 67.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.92 : 70.22 = 48.94 : x
  2. Step 2: Convert to fraction form
    50.92/70.22 = 48.94/x
  3. Step 3: Cross multiply
    50.92x = 70.22 × 48.94
  4. Step 4: Simplify right side
    50.92x = 3,436.57
  5. Step 5: Solve for x
    x = 3,436.57/50.92
  6. Step 6: Final answer
    x = 67.49

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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.