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Finding the Fourth Proportional to 86.68, 119.37 and 84.77

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Solution

The fourth proportional to 86.68, 119.37 and 84.77 is: 116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.68 : 119.37 = 84.77 : x
  2. Step 2: Convert to fraction form
    86.68/119.37 = 84.77/x
  3. Step 3: Cross multiply
    86.68x = 119.37 × 84.77
  4. Step 4: Simplify right side
    86.68x = 10,118.74
  5. Step 5: Solve for x
    x = 10,118.74/86.68
  6. Step 6: Final answer
    x = 116.73

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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.