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Finding the Fourth Proportional to 77.84, 107.41 and 44.65

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Solution

The fourth proportional to 77.84, 107.41 and 44.65 is: 61.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.84 : 107.41 = 44.65 : x
  2. Step 2: Convert to fraction form
    77.84/107.41 = 44.65/x
  3. Step 3: Cross multiply
    77.84x = 107.41 × 44.65
  4. Step 4: Simplify right side
    77.84x = 4,795.32
  5. Step 5: Solve for x
    x = 4,795.32/77.84
  6. Step 6: Final answer
    x = 61.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.