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Finding the Fourth Proportional to 105.38, 158.06 and 44.51

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Solution

The fourth proportional to 105.38, 158.06 and 44.51 is: 66.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.38 : 158.06 = 44.51 : x
  2. Step 2: Convert to fraction form
    105.38/158.06 = 44.51/x
  3. Step 3: Cross multiply
    105.38x = 158.06 × 44.51
  4. Step 4: Simplify right side
    105.38x = 7,035.25
  5. Step 5: Solve for x
    x = 7,035.25/105.38
  6. Step 6: Final answer
    x = 66.76

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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.