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Finding the Fourth Proportional to 105.28, 145.22 and 80.77

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Solution

The fourth proportional to 105.28, 145.22 and 80.77 is: 111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.28 : 145.22 = 80.77 : x
  2. Step 2: Convert to fraction form
    105.28/145.22 = 80.77/x
  3. Step 3: Cross multiply
    105.28x = 145.22 × 80.77
  4. Step 4: Simplify right side
    105.28x = 11,729.42
  5. Step 5: Solve for x
    x = 11,729.42/105.28
  6. Step 6: Final answer
    x = 111.41

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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.