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Finding the Fourth Proportional to 161.06, 241.11 and 99.99

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Solution

The fourth proportional to 161.06, 241.11 and 99.99 is: 149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.06 : 241.11 = 99.99 : x
  2. Step 2: Convert to fraction form
    161.06/241.11 = 99.99/x
  3. Step 3: Cross multiply
    161.06x = 241.11 × 99.99
  4. Step 4: Simplify right side
    161.06x = 24,108.59
  5. Step 5: Solve for x
    x = 24,108.59/161.06
  6. Step 6: Final answer
    x = 149.69

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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.