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Finding the Fourth Proportional to 86.67, 119.57 and 58.64

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Solution

The fourth proportional to 86.67, 119.57 and 58.64 is: 80.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.67 : 119.57 = 58.64 : x
  2. Step 2: Convert to fraction form
    86.67/119.57 = 58.64/x
  3. Step 3: Cross multiply
    86.67x = 119.57 × 58.64
  4. Step 4: Simplify right side
    86.67x = 7,010.69
  5. Step 5: Solve for x
    x = 7,010.69/86.67
  6. Step 6: Final answer
    x = 80.89

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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.