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Finding the Fourth Proportional to 107.52, 161.14 and 68.99

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Solution

The fourth proportional to 107.52, 161.14 and 68.99 is: 103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.52 : 161.14 = 68.99 : x
  2. Step 2: Convert to fraction form
    107.52/161.14 = 68.99/x
  3. Step 3: Cross multiply
    107.52x = 161.14 × 68.99
  4. Step 4: Simplify right side
    107.52x = 11,116.20
  5. Step 5: Solve for x
    x = 11,116.20/107.52
  6. Step 6: Final answer
    x = 103.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.