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Finding the Fourth Proportional to 86.60, 119.66 and 68.33

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Solution

The fourth proportional to 86.60, 119.66 and 68.33 is: 94.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.60 : 119.66 = 68.33 : x
  2. Step 2: Convert to fraction form
    86.60/119.66 = 68.33/x
  3. Step 3: Cross multiply
    86.60x = 119.66 × 68.33
  4. Step 4: Simplify right side
    86.60x = 8,175.77
  5. Step 5: Solve for x
    x = 8,175.77/86.60
  6. Step 6: Final answer
    x = 94.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.