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Finding the Fourth Proportional to 105.75, 145.44 and 84.98

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Solution

The fourth proportional to 105.75, 145.44 and 84.98 is: 116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 145.44 = 84.98 : x
  2. Step 2: Convert to fraction form
    105.75/145.44 = 84.98/x
  3. Step 3: Cross multiply
    105.75x = 145.44 × 84.98
  4. Step 4: Simplify right side
    105.75x = 12,359.63
  5. Step 5: Solve for x
    x = 12,359.63/105.75
  6. Step 6: Final answer
    x = 116.88

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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.