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Finding the Fourth Proportional to 99.99, 149.78 and 67.41

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Solution

The fourth proportional to 99.99, 149.78 and 67.41 is: 100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.99 : 149.78 = 67.41 : x
  2. Step 2: Convert to fraction form
    99.99/149.78 = 67.41/x
  3. Step 3: Cross multiply
    99.99x = 149.78 × 67.41
  4. Step 4: Simplify right side
    99.99x = 10,096.84
  5. Step 5: Solve for x
    x = 10,096.84/99.99
  6. Step 6: Final answer
    x = 100.98

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