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Finding the Fourth Proportional to 160.12, 221 and 123.22

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Solution

The fourth proportional to 160.12, 221 and 123.22 is: 170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.12 : 221 = 123.22 : x
  2. Step 2: Convert to fraction form
    160.12/221 = 123.22/x
  3. Step 3: Cross multiply
    160.12x = 221 × 123.22
  4. Step 4: Simplify right side
    160.12x = 27,231.62
  5. Step 5: Solve for x
    x = 27,231.62/160.12
  6. Step 6: Final answer
    x = 170.07

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