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Finding the Fourth Proportional to 49.98, 74.97 and 34.74

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Solution

The fourth proportional to 49.98, 74.97 and 34.74 is: 52.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.98 : 74.97 = 34.74 : x
  2. Step 2: Convert to fraction form
    49.98/74.97 = 34.74/x
  3. Step 3: Cross multiply
    49.98x = 74.97 × 34.74
  4. Step 4: Simplify right side
    49.98x = 2,604.46
  5. Step 5: Solve for x
    x = 2,604.46/49.98
  6. Step 6: Final answer
    x = 52.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.