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Finding the Fourth Proportional to 105.80, 146.05 and 70.85

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Solution

The fourth proportional to 105.80, 146.05 and 70.85 is: 97.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.80 : 146.05 = 70.85 : x
  2. Step 2: Convert to fraction form
    105.80/146.05 = 70.85/x
  3. Step 3: Cross multiply
    105.80x = 146.05 × 70.85
  4. Step 4: Simplify right side
    105.80x = 10,347.54
  5. Step 5: Solve for x
    x = 10,347.54/105.80
  6. Step 6: Final answer
    x = 97.81

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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.