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Finding the Fourth Proportional to 46.44, 69.60 and 35.73

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Solution

The fourth proportional to 46.44, 69.60 and 35.73 is: 53.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.44 : 69.60 = 35.73 : x
  2. Step 2: Convert to fraction form
    46.44/69.60 = 35.73/x
  3. Step 3: Cross multiply
    46.44x = 69.60 × 35.73
  4. Step 4: Simplify right side
    46.44x = 2,486.81
  5. Step 5: Solve for x
    x = 2,486.81/46.44
  6. Step 6: Final answer
    x = 53.55

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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.