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Finding the Fourth Proportional to 103.86, 155.96 and 96.68

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Solution

The fourth proportional to 103.86, 155.96 and 96.68 is: 145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.86 : 155.96 = 96.68 : x
  2. Step 2: Convert to fraction form
    103.86/155.96 = 96.68/x
  3. Step 3: Cross multiply
    103.86x = 155.96 × 96.68
  4. Step 4: Simplify right side
    103.86x = 15,078.21
  5. Step 5: Solve for x
    x = 15,078.21/103.86
  6. Step 6: Final answer
    x = 145.18

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Why These Related Problems?

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