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Finding the Fourth Proportional to 105.12, 144.86 and 77.09

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Solution

The fourth proportional to 105.12, 144.86 and 77.09 is: 106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.12 : 144.86 = 77.09 : x
  2. Step 2: Convert to fraction form
    105.12/144.86 = 77.09/x
  3. Step 3: Cross multiply
    105.12x = 144.86 × 77.09
  4. Step 4: Simplify right side
    105.12x = 11,166.15
  5. Step 5: Solve for x
    x = 11,166.15/105.12
  6. Step 6: Final answer
    x = 106.22

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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.