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Finding the Fourth Proportional to 93.91, 140.81 and 33.02

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Solution

The fourth proportional to 93.91, 140.81 and 33.02 is: 49.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.91 : 140.81 = 33.02 : x
  2. Step 2: Convert to fraction form
    93.91/140.81 = 33.02/x
  3. Step 3: Cross multiply
    93.91x = 140.81 × 33.02
  4. Step 4: Simplify right side
    93.91x = 4,649.55
  5. Step 5: Solve for x
    x = 4,649.55/93.91
  6. Step 6: Final answer
    x = 49.51

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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.