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Finding the Fourth Proportional to 105.43, 145.50 and 80.56

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Solution

The fourth proportional to 105.43, 145.50 and 80.56 is: 111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.43 : 145.50 = 80.56 : x
  2. Step 2: Convert to fraction form
    105.43/145.50 = 80.56/x
  3. Step 3: Cross multiply
    105.43x = 145.50 × 80.56
  4. Step 4: Simplify right side
    105.43x = 11,721.48
  5. Step 5: Solve for x
    x = 11,721.48/105.43
  6. Step 6: Final answer
    x = 111.18

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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.