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Finding the Fourth Proportional to 161.35, 222.77 and 114.19

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Solution

The fourth proportional to 161.35, 222.77 and 114.19 is: 157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.35 : 222.77 = 114.19 : x
  2. Step 2: Convert to fraction form
    161.35/222.77 = 114.19/x
  3. Step 3: Cross multiply
    161.35x = 222.77 × 114.19
  4. Step 4: Simplify right side
    161.35x = 25,437.83
  5. Step 5: Solve for x
    x = 25,437.83/161.35
  6. Step 6: Final answer
    x = 157.66

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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.