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Finding the Fourth Proportional to 105.23, 144.96 and 77.52

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Solution

The fourth proportional to 105.23, 144.96 and 77.52 is: 106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.23 : 144.96 = 77.52 : x
  2. Step 2: Convert to fraction form
    105.23/144.96 = 77.52/x
  3. Step 3: Cross multiply
    105.23x = 144.96 × 77.52
  4. Step 4: Simplify right side
    105.23x = 11,237.30
  5. Step 5: Solve for x
    x = 11,237.30/105.23
  6. Step 6: Final answer
    x = 106.79

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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.