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Finding the Fourth Proportional to 76.29, 105.57 and 66.62

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Solution

The fourth proportional to 76.29, 105.57 and 66.62 is: 92.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.29 : 105.57 = 66.62 : x
  2. Step 2: Convert to fraction form
    76.29/105.57 = 66.62/x
  3. Step 3: Cross multiply
    76.29x = 105.57 × 66.62
  4. Step 4: Simplify right side
    76.29x = 7,032.55
  5. Step 5: Solve for x
    x = 7,032.55/76.29
  6. Step 6: Final answer
    x = 92.18

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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.