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Finding the Fourth Proportional to 49.42, 68.21 and 39.09

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Solution

The fourth proportional to 49.42, 68.21 and 39.09 is: 53.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.42 : 68.21 = 39.09 : x
  2. Step 2: Convert to fraction form
    49.42/68.21 = 39.09/x
  3. Step 3: Cross multiply
    49.42x = 68.21 × 39.09
  4. Step 4: Simplify right side
    49.42x = 2,666.43
  5. Step 5: Solve for x
    x = 2,666.43/49.42
  6. Step 6: Final answer
    x = 53.96

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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.