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Finding the Fourth Proportional to 37, 51.26 and 36.16

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Solution

The fourth proportional to 37, 51.26 and 36.16 is: 50.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37 : 51.26 = 36.16 : x
  2. Step 2: Convert to fraction form
    37/51.26 = 36.16/x
  3. Step 3: Cross multiply
    37x = 51.26 × 36.16
  4. Step 4: Simplify right side
    37x = 1,853.56
  5. Step 5: Solve for x
    x = 1,853.56/37
  6. Step 6: Final answer
    x = 50.10

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.