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Finding the Fourth Proportional to 105.85, 145.99 and 68.50

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Solution

The fourth proportional to 105.85, 145.99 and 68.50 is: 94.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.85 : 145.99 = 68.50 : x
  2. Step 2: Convert to fraction form
    105.85/145.99 = 68.50/x
  3. Step 3: Cross multiply
    105.85x = 145.99 × 68.50
  4. Step 4: Simplify right side
    105.85x = 10,000.58
  5. Step 5: Solve for x
    x = 10,000.58/105.85
  6. Step 6: Final answer
    x = 94.48

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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.