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Finding the Fourth Proportional to 37.21, 51.59 and 35.93

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Solution

The fourth proportional to 37.21, 51.59 and 35.93 is: 49.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.21 : 51.59 = 35.93 : x
  2. Step 2: Convert to fraction form
    37.21/51.59 = 35.93/x
  3. Step 3: Cross multiply
    37.21x = 51.59 × 35.93
  4. Step 4: Simplify right side
    37.21x = 1,853.46
  5. Step 5: Solve for x
    x = 1,853.46/37.21
  6. Step 6: Final answer
    x = 49.81

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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.