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Finding the Fourth Proportional to 161.22, 241.47 and 100.02

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Solution

The fourth proportional to 161.22, 241.47 and 100.02 is: 149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.22 : 241.47 = 100.02 : x
  2. Step 2: Convert to fraction form
    161.22/241.47 = 100.02/x
  3. Step 3: Cross multiply
    161.22x = 241.47 × 100.02
  4. Step 4: Simplify right side
    161.22x = 24,151.83
  5. Step 5: Solve for x
    x = 24,151.83/161.22
  6. Step 6: Final answer
    x = 149.81

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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.