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Finding the Fourth Proportional to 70.27, 96.96 and 45.41

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Solution

The fourth proportional to 70.27, 96.96 and 45.41 is: 62.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.27 : 96.96 = 45.41 : x
  2. Step 2: Convert to fraction form
    70.27/96.96 = 45.41/x
  3. Step 3: Cross multiply
    70.27x = 96.96 × 45.41
  4. Step 4: Simplify right side
    70.27x = 4,402.68
  5. Step 5: Solve for x
    x = 4,402.68/70.27
  6. Step 6: Final answer
    x = 62.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.