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Finding the Fourth Proportional to 68.95, 103.83 and 49.82

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Solution

The fourth proportional to 68.95, 103.83 and 49.82 is: 75.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.95 : 103.83 = 49.82 : x
  2. Step 2: Convert to fraction form
    68.95/103.83 = 49.82/x
  3. Step 3: Cross multiply
    68.95x = 103.83 × 49.82
  4. Step 4: Simplify right side
    68.95x = 5,172.95
  5. Step 5: Solve for x
    x = 5,172.95/68.95
  6. Step 6: Final answer
    x = 75.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.