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Finding the Fourth Proportional to 93.73, 140.63 and 57.24

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Solution

The fourth proportional to 93.73, 140.63 and 57.24 is: 85.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.73 : 140.63 = 57.24 : x
  2. Step 2: Convert to fraction form
    93.73/140.63 = 57.24/x
  3. Step 3: Cross multiply
    93.73x = 140.63 × 57.24
  4. Step 4: Simplify right side
    93.73x = 8,049.66
  5. Step 5: Solve for x
    x = 8,049.66/93.73
  6. Step 6: Final answer
    x = 85.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.