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Finding the Fourth Proportional to 99.95, 137.86 and 83.94

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Solution

The fourth proportional to 99.95, 137.86 and 83.94 is: 115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.95 : 137.86 = 83.94 : x
  2. Step 2: Convert to fraction form
    99.95/137.86 = 83.94/x
  3. Step 3: Cross multiply
    99.95x = 137.86 × 83.94
  4. Step 4: Simplify right side
    99.95x = 11,571.24
  5. Step 5: Solve for x
    x = 11,571.24/99.95
  6. Step 6: Final answer
    x = 115.78

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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.