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Finding the Fourth Proportional to 161.28, 222.64 and 103.07

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Solution

The fourth proportional to 161.28, 222.64 and 103.07 is: 142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.28 : 222.64 = 103.07 : x
  2. Step 2: Convert to fraction form
    161.28/222.64 = 103.07/x
  3. Step 3: Cross multiply
    161.28x = 222.64 × 103.07
  4. Step 4: Simplify right side
    161.28x = 22,947.50
  5. Step 5: Solve for x
    x = 22,947.50/161.28
  6. Step 6: Final answer
    x = 142.28

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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.