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Finding the Fourth Proportional to 161.58, 223.06 and 103.46

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Solution

The fourth proportional to 161.58, 223.06 and 103.46 is: 142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.58 : 223.06 = 103.46 : x
  2. Step 2: Convert to fraction form
    161.58/223.06 = 103.46/x
  3. Step 3: Cross multiply
    161.58x = 223.06 × 103.46
  4. Step 4: Simplify right side
    161.58x = 23,077.79
  5. Step 5: Solve for x
    x = 23,077.79/161.58
  6. Step 6: Final answer
    x = 142.83

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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.