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Finding the Fourth Proportional to 70.28, 96.96 and 42.66

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Solution

The fourth proportional to 70.28, 96.96 and 42.66 is: 58.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.28 : 96.96 = 42.66 : x
  2. Step 2: Convert to fraction form
    70.28/96.96 = 42.66/x
  3. Step 3: Cross multiply
    70.28x = 96.96 × 42.66
  4. Step 4: Simplify right side
    70.28x = 4,136.31
  5. Step 5: Solve for x
    x = 4,136.31/70.28
  6. Step 6: Final answer
    x = 58.85

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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.