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Finding the Fourth Proportional to 76.45, 105.26 and 67.19

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Solution

The fourth proportional to 76.45, 105.26 and 67.19 is: 92.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.45 : 105.26 = 67.19 : x
  2. Step 2: Convert to fraction form
    76.45/105.26 = 67.19/x
  3. Step 3: Cross multiply
    76.45x = 105.26 × 67.19
  4. Step 4: Simplify right side
    76.45x = 7,072.08
  5. Step 5: Solve for x
    x = 7,072.08/76.45
  6. Step 6: Final answer
    x = 92.51

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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.