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Finding the Fourth Proportional to 105.46, 145.36 and 80.85

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Solution

The fourth proportional to 105.46, 145.36 and 80.85 is: 111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.46 : 145.36 = 80.85 : x
  2. Step 2: Convert to fraction form
    105.46/145.36 = 80.85/x
  3. Step 3: Cross multiply
    105.46x = 145.36 × 80.85
  4. Step 4: Simplify right side
    105.46x = 11,752.36
  5. Step 5: Solve for x
    x = 11,752.36/105.46
  6. Step 6: Final answer
    x = 111.44

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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.