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Finding the Fourth Proportional to 93.53, 140.32 and 28.54

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Solution

The fourth proportional to 93.53, 140.32 and 28.54 is: 42.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.53 : 140.32 = 28.54 : x
  2. Step 2: Convert to fraction form
    93.53/140.32 = 28.54/x
  3. Step 3: Cross multiply
    93.53x = 140.32 × 28.54
  4. Step 4: Simplify right side
    93.53x = 4,004.73
  5. Step 5: Solve for x
    x = 4,004.73/93.53
  6. Step 6: Final answer
    x = 42.82

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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.