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Finding the Fourth Proportional to 86.16, 118.86 and 76.41

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Solution

The fourth proportional to 86.16, 118.86 and 76.41 is: 105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.16 : 118.86 = 76.41 : x
  2. Step 2: Convert to fraction form
    86.16/118.86 = 76.41/x
  3. Step 3: Cross multiply
    86.16x = 118.86 × 76.41
  4. Step 4: Simplify right side
    86.16x = 9,082.09
  5. Step 5: Solve for x
    x = 9,082.09/86.16
  6. Step 6: Final answer
    x = 105.41

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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.