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Finding the Fourth Proportional to 160.99, 221.66 and 129.97

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Solution

The fourth proportional to 160.99, 221.66 and 129.97 is: 178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.99 : 221.66 = 129.97 : x
  2. Step 2: Convert to fraction form
    160.99/221.66 = 129.97/x
  3. Step 3: Cross multiply
    160.99x = 221.66 × 129.97
  4. Step 4: Simplify right side
    160.99x = 28,808.70
  5. Step 5: Solve for x
    x = 28,808.70/160.99
  6. Step 6: Final answer
    x = 178.95

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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.