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Finding the Fourth Proportional to 86.81, 119.76 and 54.05

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Solution

The fourth proportional to 86.81, 119.76 and 54.05 is: 74.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.81 : 119.76 = 54.05 : x
  2. Step 2: Convert to fraction form
    86.81/119.76 = 54.05/x
  3. Step 3: Cross multiply
    86.81x = 119.76 × 54.05
  4. Step 4: Simplify right side
    86.81x = 6,472.43
  5. Step 5: Solve for x
    x = 6,472.43/86.81
  6. Step 6: Final answer
    x = 74.56

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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.