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Finding the Fourth Proportional to 160.46, 221.23 and 118.99

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Solution

The fourth proportional to 160.46, 221.23 and 118.99 is: 164.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.46 : 221.23 = 118.99 : x
  2. Step 2: Convert to fraction form
    160.46/221.23 = 118.99/x
  3. Step 3: Cross multiply
    160.46x = 221.23 × 118.99
  4. Step 4: Simplify right side
    160.46x = 26,324.58
  5. Step 5: Solve for x
    x = 26,324.58/160.46
  6. Step 6: Final answer
    x = 164.06

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Why These Related Problems?

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