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Finding the Fourth Proportional to 160.55, 221.36 and 137.19

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Solution

The fourth proportional to 160.55, 221.36 and 137.19 is: 189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.55 : 221.36 = 137.19 : x
  2. Step 2: Convert to fraction form
    160.55/221.36 = 137.19/x
  3. Step 3: Cross multiply
    160.55x = 221.36 × 137.19
  4. Step 4: Simplify right side
    160.55x = 30,367.69
  5. Step 5: Solve for x
    x = 30,367.69/160.55
  6. Step 6: Final answer
    x = 189.15

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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.