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Finding the Fourth Proportional to 77.08, 105.73 and 74.44

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Solution

The fourth proportional to 77.08, 105.73 and 74.44 is: 102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.08 : 105.73 = 74.44 : x
  2. Step 2: Convert to fraction form
    77.08/105.73 = 74.44/x
  3. Step 3: Cross multiply
    77.08x = 105.73 × 74.44
  4. Step 4: Simplify right side
    77.08x = 7,870.54
  5. Step 5: Solve for x
    x = 7,870.54/77.08
  6. Step 6: Final answer
    x = 102.11

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Why These Related Problems?

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