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Finding the Fourth Proportional to 70.56, 96.84 and 66.84

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Solution

The fourth proportional to 70.56, 96.84 and 66.84 is: 91.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.56 : 96.84 = 66.84 : x
  2. Step 2: Convert to fraction form
    70.56/96.84 = 66.84/x
  3. Step 3: Cross multiply
    70.56x = 96.84 × 66.84
  4. Step 4: Simplify right side
    70.56x = 6,472.79
  5. Step 5: Solve for x
    x = 6,472.79/70.56
  6. Step 6: Final answer
    x = 91.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.