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Finding the Fourth Proportional to 50.62, 75.88 and 35.96

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Solution

The fourth proportional to 50.62, 75.88 and 35.96 is: 53.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.62 : 75.88 = 35.96 : x
  2. Step 2: Convert to fraction form
    50.62/75.88 = 35.96/x
  3. Step 3: Cross multiply
    50.62x = 75.88 × 35.96
  4. Step 4: Simplify right side
    50.62x = 2,729.03
  5. Step 5: Solve for x
    x = 2,729.03/50.62
  6. Step 6: Final answer
    x = 53.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.