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Finding the Fourth Proportional to 105.50, 145.35 and 80.85

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Solution

The fourth proportional to 105.50, 145.35 and 80.85 is: 111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.50 : 145.35 = 80.85 : x
  2. Step 2: Convert to fraction form
    105.50/145.35 = 80.85/x
  3. Step 3: Cross multiply
    105.50x = 145.35 × 80.85
  4. Step 4: Simplify right side
    105.50x = 11,751.55
  5. Step 5: Solve for x
    x = 11,751.55/105.50
  6. Step 6: Final answer
    x = 111.39

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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.