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Finding the Fourth Proportional to 37.84, 51.83 and 36.68

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Solution

The fourth proportional to 37.84, 51.83 and 36.68 is: 50.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.84 : 51.83 = 36.68 : x
  2. Step 2: Convert to fraction form
    37.84/51.83 = 36.68/x
  3. Step 3: Cross multiply
    37.84x = 51.83 × 36.68
  4. Step 4: Simplify right side
    37.84x = 1,901.12
  5. Step 5: Solve for x
    x = 1,901.12/37.84
  6. Step 6: Final answer
    x = 50.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.