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Finding the Fourth Proportional to 37.14, 50.98 and 36.46

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Solution

The fourth proportional to 37.14, 50.98 and 36.46 is: 50.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.14 : 50.98 = 36.46 : x
  2. Step 2: Convert to fraction form
    37.14/50.98 = 36.46/x
  3. Step 3: Cross multiply
    37.14x = 50.98 × 36.46
  4. Step 4: Simplify right side
    37.14x = 1,858.73
  5. Step 5: Solve for x
    x = 1,858.73/37.14
  6. Step 6: Final answer
    x = 50.05

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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.