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Finding the Fourth Proportional to 86.58, 118.99 and 84.15

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Solution

The fourth proportional to 86.58, 118.99 and 84.15 is: 115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.58 : 118.99 = 84.15 : x
  2. Step 2: Convert to fraction form
    86.58/118.99 = 84.15/x
  3. Step 3: Cross multiply
    86.58x = 118.99 × 84.15
  4. Step 4: Simplify right side
    86.58x = 10,013.11
  5. Step 5: Solve for x
    x = 10,013.11/86.58
  6. Step 6: Final answer
    x = 115.65

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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.