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Finding the Fourth Proportional to 93.76, 140.74 and 55.27

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Solution

The fourth proportional to 93.76, 140.74 and 55.27 is: 82.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.76 : 140.74 = 55.27 : x
  2. Step 2: Convert to fraction form
    93.76/140.74 = 55.27/x
  3. Step 3: Cross multiply
    93.76x = 140.74 × 55.27
  4. Step 4: Simplify right side
    93.76x = 7,778.03
  5. Step 5: Solve for x
    x = 7,778.03/93.76
  6. Step 6: Final answer
    x = 82.96

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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.