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Finding the Fourth Proportional to 86.27, 119.19 and 65.62

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Solution

The fourth proportional to 86.27, 119.19 and 65.62 is: 90.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.27 : 119.19 = 65.62 : x
  2. Step 2: Convert to fraction form
    86.27/119.19 = 65.62/x
  3. Step 3: Cross multiply
    86.27x = 119.19 × 65.62
  4. Step 4: Simplify right side
    86.27x = 7,821.25
  5. Step 5: Solve for x
    x = 7,821.25/86.27
  6. Step 6: Final answer
    x = 90.66

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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.