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Finding the Fourth Proportional to 86.32, 118.95 and 80.68

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Solution

The fourth proportional to 86.32, 118.95 and 80.68 is: 111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.32 : 118.95 = 80.68 : x
  2. Step 2: Convert to fraction form
    86.32/118.95 = 80.68/x
  3. Step 3: Cross multiply
    86.32x = 118.95 × 80.68
  4. Step 4: Simplify right side
    86.32x = 9,596.89
  5. Step 5: Solve for x
    x = 9,596.89/86.32
  6. Step 6: Final answer
    x = 111.18

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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.