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Finding the Fourth Proportional to 49.30, 73.99 and 49.14

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Solution

The fourth proportional to 49.30, 73.99 and 49.14 is: 73.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.30 : 73.99 = 49.14 : x
  2. Step 2: Convert to fraction form
    49.30/73.99 = 49.14/x
  3. Step 3: Cross multiply
    49.30x = 73.99 × 49.14
  4. Step 4: Simplify right side
    49.30x = 3,635.87
  5. Step 5: Solve for x
    x = 3,635.87/49.30
  6. Step 6: Final answer
    x = 73.75

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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.