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Finding the Fourth Proportional to 160.84, 221.97 and 91.84

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Solution

The fourth proportional to 160.84, 221.97 and 91.84 is: 126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.84 : 221.97 = 91.84 : x
  2. Step 2: Convert to fraction form
    160.84/221.97 = 91.84/x
  3. Step 3: Cross multiply
    160.84x = 221.97 × 91.84
  4. Step 4: Simplify right side
    160.84x = 20,385.72
  5. Step 5: Solve for x
    x = 20,385.72/160.84
  6. Step 6: Final answer
    x = 126.75

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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.