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Finding the Fourth Proportional to 103.86, 143.20 and 76.24

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Solution

The fourth proportional to 103.86, 143.20 and 76.24 is: 105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.86 : 143.20 = 76.24 : x
  2. Step 2: Convert to fraction form
    103.86/143.20 = 76.24/x
  3. Step 3: Cross multiply
    103.86x = 143.20 × 76.24
  4. Step 4: Simplify right side
    103.86x = 10,917.57
  5. Step 5: Solve for x
    x = 10,917.57/103.86
  6. Step 6: Final answer
    x = 105.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.