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Finding the Fourth Proportional to 50.73, 69.98 and 31.34

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Solution

The fourth proportional to 50.73, 69.98 and 31.34 is: 43.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.73 : 69.98 = 31.34 : x
  2. Step 2: Convert to fraction form
    50.73/69.98 = 31.34/x
  3. Step 3: Cross multiply
    50.73x = 69.98 × 31.34
  4. Step 4: Simplify right side
    50.73x = 2,192.67
  5. Step 5: Solve for x
    x = 2,192.67/50.73
  6. Step 6: Final answer
    x = 43.22

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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.