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Finding the Fourth Proportional to 70.71, 105.56 and 70.26

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Solution

The fourth proportional to 70.71, 105.56 and 70.26 is: 104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.71 : 105.56 = 70.26 : x
  2. Step 2: Convert to fraction form
    70.71/105.56 = 70.26/x
  3. Step 3: Cross multiply
    70.71x = 105.56 × 70.26
  4. Step 4: Simplify right side
    70.71x = 7,416.29
  5. Step 5: Solve for x
    x = 7,416.29/70.71
  6. Step 6: Final answer
    x = 104.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.