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Finding the Fourth Proportional to 161.16, 241.84 and 74.48

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Solution

The fourth proportional to 161.16, 241.84 and 74.48 is: 111.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.16 : 241.84 = 74.48 : x
  2. Step 2: Convert to fraction form
    161.16/241.84 = 74.48/x
  3. Step 3: Cross multiply
    161.16x = 241.84 × 74.48
  4. Step 4: Simplify right side
    161.16x = 18,012.24
  5. Step 5: Solve for x
    x = 18,012.24/161.16
  6. Step 6: Final answer
    x = 111.77

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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.