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Finding the Fourth Proportional to 86.67, 119.54 and 59.09

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Solution

The fourth proportional to 86.67, 119.54 and 59.09 is: 81.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.67 : 119.54 = 59.09 : x
  2. Step 2: Convert to fraction form
    86.67/119.54 = 59.09/x
  3. Step 3: Cross multiply
    86.67x = 119.54 × 59.09
  4. Step 4: Simplify right side
    86.67x = 7,063.17
  5. Step 5: Solve for x
    x = 7,063.17/86.67
  6. Step 6: Final answer
    x = 81.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.