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Finding the Fourth Proportional to 70.71, 105.94 and 30.07

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Solution

The fourth proportional to 70.71, 105.94 and 30.07 is: 45.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.71 : 105.94 = 30.07 : x
  2. Step 2: Convert to fraction form
    70.71/105.94 = 30.07/x
  3. Step 3: Cross multiply
    70.71x = 105.94 × 30.07
  4. Step 4: Simplify right side
    70.71x = 3,185.62
  5. Step 5: Solve for x
    x = 3,185.62/70.71
  6. Step 6: Final answer
    x = 45.05

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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.