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Finding the Fourth Proportional to 160.94, 222.16 and 98.82

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Solution

The fourth proportional to 160.94, 222.16 and 98.82 is: 136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.94 : 222.16 = 98.82 : x
  2. Step 2: Convert to fraction form
    160.94/222.16 = 98.82/x
  3. Step 3: Cross multiply
    160.94x = 222.16 × 98.82
  4. Step 4: Simplify right side
    160.94x = 21,953.85
  5. Step 5: Solve for x
    x = 21,953.85/160.94
  6. Step 6: Final answer
    x = 136.41

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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.