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Finding the Fourth Proportional to 105.94, 146.08 and 70.90

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Solution

The fourth proportional to 105.94, 146.08 and 70.90 is: 97.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.94 : 146.08 = 70.90 : x
  2. Step 2: Convert to fraction form
    105.94/146.08 = 70.90/x
  3. Step 3: Cross multiply
    105.94x = 146.08 × 70.90
  4. Step 4: Simplify right side
    105.94x = 10,357.07
  5. Step 5: Solve for x
    x = 10,357.07/105.94
  6. Step 6: Final answer
    x = 97.76

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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.