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Finding the Fourth Proportional to 93.24, 140.11 and 49.94

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Solution

The fourth proportional to 93.24, 140.11 and 49.94 is: 75.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.24 : 140.11 = 49.94 : x
  2. Step 2: Convert to fraction form
    93.24/140.11 = 49.94/x
  3. Step 3: Cross multiply
    93.24x = 140.11 × 49.94
  4. Step 4: Simplify right side
    93.24x = 6,997.09
  5. Step 5: Solve for x
    x = 6,997.09/93.24
  6. Step 6: Final answer
    x = 75.04

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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.