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Finding the Fourth Proportional to 103.67, 143.85 and 100.83

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Solution

The fourth proportional to 103.67, 143.85 and 100.83 is: 139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.67 : 143.85 = 100.83 : x
  2. Step 2: Convert to fraction form
    103.67/143.85 = 100.83/x
  3. Step 3: Cross multiply
    103.67x = 143.85 × 100.83
  4. Step 4: Simplify right side
    103.67x = 14,504.40
  5. Step 5: Solve for x
    x = 14,504.40/103.67
  6. Step 6: Final answer
    x = 139.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.