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Finding the Fourth Proportional to 77.32, 105.98 and 75.94

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Solution

The fourth proportional to 77.32, 105.98 and 75.94 is: 104.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.32 : 105.98 = 75.94 : x
  2. Step 2: Convert to fraction form
    77.32/105.98 = 75.94/x
  3. Step 3: Cross multiply
    77.32x = 105.98 × 75.94
  4. Step 4: Simplify right side
    77.32x = 8,048.12
  5. Step 5: Solve for x
    x = 8,048.12/77.32
  6. Step 6: Final answer
    x = 104.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.