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Finding the Fourth Proportional to 105.69, 158.45 and 75.45

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Solution

The fourth proportional to 105.69, 158.45 and 75.45 is: 113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.69 : 158.45 = 75.45 : x
  2. Step 2: Convert to fraction form
    105.69/158.45 = 75.45/x
  3. Step 3: Cross multiply
    105.69x = 158.45 × 75.45
  4. Step 4: Simplify right side
    105.69x = 11,954.68
  5. Step 5: Solve for x
    x = 11,954.68/105.69
  6. Step 6: Final answer
    x = 113.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.