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Finding the Fourth Proportional to 50.17, 69.25 and 39.84

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Solution

The fourth proportional to 50.17, 69.25 and 39.84 is: 54.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.17 : 69.25 = 39.84 : x
  2. Step 2: Convert to fraction form
    50.17/69.25 = 39.84/x
  3. Step 3: Cross multiply
    50.17x = 69.25 × 39.84
  4. Step 4: Simplify right side
    50.17x = 2,758.82
  5. Step 5: Solve for x
    x = 2,758.82/50.17
  6. Step 6: Final answer
    x = 54.99

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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.