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Finding the Fourth Proportional to 105.74, 145.84 and 83.87

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Solution

The fourth proportional to 105.74, 145.84 and 83.87 is: 115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.74 : 145.84 = 83.87 : x
  2. Step 2: Convert to fraction form
    105.74/145.84 = 83.87/x
  3. Step 3: Cross multiply
    105.74x = 145.84 × 83.87
  4. Step 4: Simplify right side
    105.74x = 12,231.60
  5. Step 5: Solve for x
    x = 12,231.60/105.74
  6. Step 6: Final answer
    x = 115.68

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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.