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Finding the Fourth Proportional to 160.82, 222.03 and 123.18

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Solution

The fourth proportional to 160.82, 222.03 and 123.18 is: 170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.82 : 222.03 = 123.18 : x
  2. Step 2: Convert to fraction form
    160.82/222.03 = 123.18/x
  3. Step 3: Cross multiply
    160.82x = 222.03 × 123.18
  4. Step 4: Simplify right side
    160.82x = 27,349.66
  5. Step 5: Solve for x
    x = 27,349.66/160.82
  6. Step 6: Final answer
    x = 170.06

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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.