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Finding the Fourth Proportional to 105.86, 146.03 and 70.85

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Solution

The fourth proportional to 105.86, 146.03 and 70.85 is: 97.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.86 : 146.03 = 70.85 : x
  2. Step 2: Convert to fraction form
    105.86/146.03 = 70.85/x
  3. Step 3: Cross multiply
    105.86x = 146.03 × 70.85
  4. Step 4: Simplify right side
    105.86x = 10,345.14
  5. Step 5: Solve for x
    x = 10,345.14/105.86
  6. Step 6: Final answer
    x = 97.73

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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.