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Finding the Fourth Proportional to 86.22, 119.04 and 58.60

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Solution

The fourth proportional to 86.22, 119.04 and 58.60 is: 80.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.22 : 119.04 = 58.60 : x
  2. Step 2: Convert to fraction form
    86.22/119.04 = 58.60/x
  3. Step 3: Cross multiply
    86.22x = 119.04 × 58.60
  4. Step 4: Simplify right side
    86.22x = 6,975.74
  5. Step 5: Solve for x
    x = 6,975.74/86.22
  6. Step 6: Final answer
    x = 80.91

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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.