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Finding the Fourth Proportional to 105.06, 145.11 and 80.44

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Solution

The fourth proportional to 105.06, 145.11 and 80.44 is: 111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.06 : 145.11 = 80.44 : x
  2. Step 2: Convert to fraction form
    105.06/145.11 = 80.44/x
  3. Step 3: Cross multiply
    105.06x = 145.11 × 80.44
  4. Step 4: Simplify right side
    105.06x = 11,672.65
  5. Step 5: Solve for x
    x = 11,672.65/105.06
  6. Step 6: Final answer
    x = 111.10

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Why These Related Problems?

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