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Finding the Fourth Proportional to 160.43, 221.06 and 131.27

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Solution

The fourth proportional to 160.43, 221.06 and 131.27 is: 180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.43 : 221.06 = 131.27 : x
  2. Step 2: Convert to fraction form
    160.43/221.06 = 131.27/x
  3. Step 3: Cross multiply
    160.43x = 221.06 × 131.27
  4. Step 4: Simplify right side
    160.43x = 29,017.77
  5. Step 5: Solve for x
    x = 29,017.77/160.43
  6. Step 6: Final answer
    x = 180.88

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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.