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Finding the Fourth Proportional to 86.84, 119.05 and 84.84

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Solution

The fourth proportional to 86.84, 119.05 and 84.84 is: 116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.84 : 119.05 = 84.84 : x
  2. Step 2: Convert to fraction form
    86.84/119.05 = 84.84/x
  3. Step 3: Cross multiply
    86.84x = 119.05 × 84.84
  4. Step 4: Simplify right side
    86.84x = 10,100.20
  5. Step 5: Solve for x
    x = 10,100.20/86.84
  6. Step 6: Final answer
    x = 116.31

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