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Finding the Fourth Proportional to 160.55, 221.64 and 119.21

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Solution

The fourth proportional to 160.55, 221.64 and 119.21 is: 164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.55 : 221.64 = 119.21 : x
  2. Step 2: Convert to fraction form
    160.55/221.64 = 119.21/x
  3. Step 3: Cross multiply
    160.55x = 221.64 × 119.21
  4. Step 4: Simplify right side
    160.55x = 26,420.15
  5. Step 5: Solve for x
    x = 26,420.15/160.55
  6. Step 6: Final answer
    x = 164.56

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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.