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Finding the Fourth Proportional to 70.74, 105.32 and 70.41

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Solution

The fourth proportional to 70.74, 105.32 and 70.41 is: 104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.74 : 105.32 = 70.41 : x
  2. Step 2: Convert to fraction form
    70.74/105.32 = 70.41/x
  3. Step 3: Cross multiply
    70.74x = 105.32 × 70.41
  4. Step 4: Simplify right side
    70.74x = 7,415.36
  5. Step 5: Solve for x
    x = 7,415.36/70.74
  6. Step 6: Final answer
    x = 104.82

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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.