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Finding the Fourth Proportional to 161.24, 241.63 and 74.53

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Solution

The fourth proportional to 161.24, 241.63 and 74.53 is: 111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.24 : 241.63 = 74.53 : x
  2. Step 2: Convert to fraction form
    161.24/241.63 = 74.53/x
  3. Step 3: Cross multiply
    161.24x = 241.63 × 74.53
  4. Step 4: Simplify right side
    161.24x = 18,007.89
  5. Step 5: Solve for x
    x = 18,007.89/161.24
  6. Step 6: Final answer
    x = 111.69

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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.