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Finding the Fourth Proportional to 49.46, 68.24 and 30.04

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Solution

The fourth proportional to 49.46, 68.24 and 30.04 is: 41.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.46 : 68.24 = 30.04 : x
  2. Step 2: Convert to fraction form
    49.46/68.24 = 30.04/x
  3. Step 3: Cross multiply
    49.46x = 68.24 × 30.04
  4. Step 4: Simplify right side
    49.46x = 2,049.93
  5. Step 5: Solve for x
    x = 2,049.93/49.46
  6. Step 6: Final answer
    x = 41.45

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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.