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Finding the Fourth Proportional to 86.22, 118.25 and 84.74

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Solution

The fourth proportional to 86.22, 118.25 and 84.74 is: 116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.22 : 118.25 = 84.74 : x
  2. Step 2: Convert to fraction form
    86.22/118.25 = 84.74/x
  3. Step 3: Cross multiply
    86.22x = 118.25 × 84.74
  4. Step 4: Simplify right side
    86.22x = 10,019.49
  5. Step 5: Solve for x
    x = 10,019.49/86.22
  6. Step 6: Final answer
    x = 116.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.