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Finding the Fourth Proportional to 70.82, 106.26 and 68.06

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Solution

The fourth proportional to 70.82, 106.26 and 68.06 is: 102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.82 : 106.26 = 68.06 : x
  2. Step 2: Convert to fraction form
    70.82/106.26 = 68.06/x
  3. Step 3: Cross multiply
    70.82x = 106.26 × 68.06
  4. Step 4: Simplify right side
    70.82x = 7,232.06
  5. Step 5: Solve for x
    x = 7,232.06/70.82
  6. Step 6: Final answer
    x = 102.12

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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.