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Finding the Fourth Proportional to 70.82, 106.20 and 30.23

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Solution

The fourth proportional to 70.82, 106.20 and 30.23 is: 45.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.82 : 106.20 = 30.23 : x
  2. Step 2: Convert to fraction form
    70.82/106.20 = 30.23/x
  3. Step 3: Cross multiply
    70.82x = 106.20 × 30.23
  4. Step 4: Simplify right side
    70.82x = 3,210.43
  5. Step 5: Solve for x
    x = 3,210.43/70.82
  6. Step 6: Final answer
    x = 45.33

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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.