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Finding the Fourth Proportional to 103.67, 142.31 and 89.09

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Solution

The fourth proportional to 103.67, 142.31 and 89.09 is: 122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.67 : 142.31 = 89.09 : x
  2. Step 2: Convert to fraction form
    103.67/142.31 = 89.09/x
  3. Step 3: Cross multiply
    103.67x = 142.31 × 89.09
  4. Step 4: Simplify right side
    103.67x = 12,678.40
  5. Step 5: Solve for x
    x = 12,678.40/103.67
  6. Step 6: Final answer
    x = 122.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.