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Finding the Fourth Proportional to 105.82, 146.07 and 70.90

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Solution

The fourth proportional to 105.82, 146.07 and 70.90 is: 97.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.82 : 146.07 = 70.90 : x
  2. Step 2: Convert to fraction form
    105.82/146.07 = 70.90/x
  3. Step 3: Cross multiply
    105.82x = 146.07 × 70.90
  4. Step 4: Simplify right side
    105.82x = 10,356.36
  5. Step 5: Solve for x
    x = 10,356.36/105.82
  6. Step 6: Final answer
    x = 97.87

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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.