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Finding the Fourth Proportional to 70.44, 105.42 and 66

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Solution

The fourth proportional to 70.44, 105.42 and 66 is: 98.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.44 : 105.42 = 66 : x
  2. Step 2: Convert to fraction form
    70.44/105.42 = 66/x
  3. Step 3: Cross multiply
    70.44x = 105.42 × 66
  4. Step 4: Simplify right side
    70.44x = 6,957.72
  5. Step 5: Solve for x
    x = 6,957.72/70.44
  6. Step 6: Final answer
    x = 98.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.