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Finding the Fourth Proportional to 93.05, 128.24 and 66.78

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Solution

The fourth proportional to 93.05, 128.24 and 66.78 is: 92.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.05 : 128.24 = 66.78 : x
  2. Step 2: Convert to fraction form
    93.05/128.24 = 66.78/x
  3. Step 3: Cross multiply
    93.05x = 128.24 × 66.78
  4. Step 4: Simplify right side
    93.05x = 8,563.53
  5. Step 5: Solve for x
    x = 8,563.53/93.05
  6. Step 6: Final answer
    x = 92.03

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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.