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Finding the Fourth Proportional to 103.07, 154.41 and 96.69

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Solution

The fourth proportional to 103.07, 154.41 and 96.69 is: 144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.07 : 154.41 = 96.69 : x
  2. Step 2: Convert to fraction form
    103.07/154.41 = 96.69/x
  3. Step 3: Cross multiply
    103.07x = 154.41 × 96.69
  4. Step 4: Simplify right side
    103.07x = 14,930.12
  5. Step 5: Solve for x
    x = 14,930.12/103.07
  6. Step 6: Final answer
    x = 144.85

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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.