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Finding the Fourth Proportional to 36.92, 51.00 and 34.19

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Solution

The fourth proportional to 36.92, 51.00 and 34.19 is: 47.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.92 : 51.00 = 34.19 : x
  2. Step 2: Convert to fraction form
    36.92/51.00 = 34.19/x
  3. Step 3: Cross multiply
    36.92x = 51.00 × 34.19
  4. Step 4: Simplify right side
    36.92x = 1,743.50
  5. Step 5: Solve for x
    x = 1,743.50/36.92
  6. Step 6: Final answer
    x = 47.22

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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.