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Finding the Fourth Proportional to 99.83, 137.70 and 77.96

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Solution

The fourth proportional to 99.83, 137.70 and 77.96 is: 107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.83 : 137.70 = 77.96 : x
  2. Step 2: Convert to fraction form
    99.83/137.70 = 77.96/x
  3. Step 3: Cross multiply
    99.83x = 137.70 × 77.96
  4. Step 4: Simplify right side
    99.83x = 10,735.44
  5. Step 5: Solve for x
    x = 10,735.44/99.83
  6. Step 6: Final answer
    x = 107.53

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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.