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Finding the Fourth Proportional to 160.72, 222.01 and 137.33

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Solution

The fourth proportional to 160.72, 222.01 and 137.33 is: 189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.72 : 222.01 = 137.33 : x
  2. Step 2: Convert to fraction form
    160.72/222.01 = 137.33/x
  3. Step 3: Cross multiply
    160.72x = 222.01 × 137.33
  4. Step 4: Simplify right side
    160.72x = 30,488.01
  5. Step 5: Solve for x
    x = 30,488.01/160.72
  6. Step 6: Final answer
    x = 189.70

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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.