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Finding the Fourth Proportional to 107.96, 148.74 and 76.83

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Solution

The fourth proportional to 107.96, 148.74 and 76.83 is: 105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.96 : 148.74 = 76.83 : x
  2. Step 2: Convert to fraction form
    107.96/148.74 = 76.83/x
  3. Step 3: Cross multiply
    107.96x = 148.74 × 76.83
  4. Step 4: Simplify right side
    107.96x = 11,426.57
  5. Step 5: Solve for x
    x = 11,426.57/107.96
  6. Step 6: Final answer
    x = 105.84

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Why These Related Problems?

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