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Finding the Fourth Proportional to 99.97, 150.06 and 99.82

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Solution

The fourth proportional to 99.97, 150.06 and 99.82 is: 149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.97 : 150.06 = 99.82 : x
  2. Step 2: Convert to fraction form
    99.97/150.06 = 99.82/x
  3. Step 3: Cross multiply
    99.97x = 150.06 × 99.82
  4. Step 4: Simplify right side
    99.97x = 14,978.99
  5. Step 5: Solve for x
    x = 14,978.99/99.97
  6. Step 6: Final answer
    x = 149.83

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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.