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Finding the Fourth Proportional to 86.22, 119.05 and 69.82

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Solution

The fourth proportional to 86.22, 119.05 and 69.82 is: 96.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.22 : 119.05 = 69.82 : x
  2. Step 2: Convert to fraction form
    86.22/119.05 = 69.82/x
  3. Step 3: Cross multiply
    86.22x = 119.05 × 69.82
  4. Step 4: Simplify right side
    86.22x = 8,312.07
  5. Step 5: Solve for x
    x = 8,312.07/86.22
  6. Step 6: Final answer
    x = 96.41

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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.