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Finding the Fourth Proportional to 161.18, 222.31 and 112.07

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Solution

The fourth proportional to 161.18, 222.31 and 112.07 is: 154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.18 : 222.31 = 112.07 : x
  2. Step 2: Convert to fraction form
    161.18/222.31 = 112.07/x
  3. Step 3: Cross multiply
    161.18x = 222.31 × 112.07
  4. Step 4: Simplify right side
    161.18x = 24,914.28
  5. Step 5: Solve for x
    x = 24,914.28/161.18
  6. Step 6: Final answer
    x = 154.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.