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Finding the Fourth Proportional to 161.30, 222.09 and 123.99

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Solution

The fourth proportional to 161.30, 222.09 and 123.99 is: 170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.30 : 222.09 = 123.99 : x
  2. Step 2: Convert to fraction form
    161.30/222.09 = 123.99/x
  3. Step 3: Cross multiply
    161.30x = 222.09 × 123.99
  4. Step 4: Simplify right side
    161.30x = 27,536.94
  5. Step 5: Solve for x
    x = 27,536.94/161.30
  6. Step 6: Final answer
    x = 170.72

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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.