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Finding the Fourth Proportional to 86.01, 118.36 and 83.74

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Solution

The fourth proportional to 86.01, 118.36 and 83.74 is: 115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.01 : 118.36 = 83.74 : x
  2. Step 2: Convert to fraction form
    86.01/118.36 = 83.74/x
  3. Step 3: Cross multiply
    86.01x = 118.36 × 83.74
  4. Step 4: Simplify right side
    86.01x = 9,911.05
  5. Step 5: Solve for x
    x = 9,911.05/86.01
  6. Step 6: Final answer
    x = 115.23

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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.