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Finding the Fourth Proportional to 86.89, 119.72 and 59.20

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Solution

The fourth proportional to 86.89, 119.72 and 59.20 is: 81.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.89 : 119.72 = 59.20 : x
  2. Step 2: Convert to fraction form
    86.89/119.72 = 59.20/x
  3. Step 3: Cross multiply
    86.89x = 119.72 × 59.20
  4. Step 4: Simplify right side
    86.89x = 7,087.13
  5. Step 5: Solve for x
    x = 7,087.13/86.89
  6. Step 6: Final answer
    x = 81.56

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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.