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Finding the Fourth Proportional to 49.69, 74.58 and 34.48

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Solution

The fourth proportional to 49.69, 74.58 and 34.48 is: 51.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.69 : 74.58 = 34.48 : x
  2. Step 2: Convert to fraction form
    49.69/74.58 = 34.48/x
  3. Step 3: Cross multiply
    49.69x = 74.58 × 34.48
  4. Step 4: Simplify right side
    49.69x = 2,571.52
  5. Step 5: Solve for x
    x = 2,571.52/49.69
  6. Step 6: Final answer
    x = 51.75

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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.