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Finding the Fourth Proportional to 77.19, 105.89 and 75.05

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Solution

The fourth proportional to 77.19, 105.89 and 75.05 is: 102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.19 : 105.89 = 75.05 : x
  2. Step 2: Convert to fraction form
    77.19/105.89 = 75.05/x
  3. Step 3: Cross multiply
    77.19x = 105.89 × 75.05
  4. Step 4: Simplify right side
    77.19x = 7,947.05
  5. Step 5: Solve for x
    x = 7,947.05/77.19
  6. Step 6: Final answer
    x = 102.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.