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Finding the Fourth Proportional to 86.86, 119.74 and 54.09

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Solution

The fourth proportional to 86.86, 119.74 and 54.09 is: 74.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.86 : 119.74 = 54.09 : x
  2. Step 2: Convert to fraction form
    86.86/119.74 = 54.09/x
  3. Step 3: Cross multiply
    86.86x = 119.74 × 54.09
  4. Step 4: Simplify right side
    86.86x = 6,476.74
  5. Step 5: Solve for x
    x = 6,476.74/86.86
  6. Step 6: Final answer
    x = 74.57

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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.