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Finding the Fourth Proportional to 99.93, 149.89 and 27.78

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Solution

The fourth proportional to 99.93, 149.89 and 27.78 is: 41.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.93 : 149.89 = 27.78 : x
  2. Step 2: Convert to fraction form
    99.93/149.89 = 27.78/x
  3. Step 3: Cross multiply
    99.93x = 149.89 × 27.78
  4. Step 4: Simplify right side
    99.93x = 4,163.94
  5. Step 5: Solve for x
    x = 4,163.94/99.93
  6. Step 6: Final answer
    x = 41.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.