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Finding the Fourth Proportional to 51.44, 76.99 and 41.32

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Solution

The fourth proportional to 51.44, 76.99 and 41.32 is: 61.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.44 : 76.99 = 41.32 : x
  2. Step 2: Convert to fraction form
    51.44/76.99 = 41.32/x
  3. Step 3: Cross multiply
    51.44x = 76.99 × 41.32
  4. Step 4: Simplify right side
    51.44x = 3,181.23
  5. Step 5: Solve for x
    x = 3,181.23/51.44
  6. Step 6: Final answer
    x = 61.84

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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.