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Finding the Fourth Proportional to 93.74, 140.62 and 39.62

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Solution

The fourth proportional to 93.74, 140.62 and 39.62 is: 59.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.74 : 140.62 = 39.62 : x
  2. Step 2: Convert to fraction form
    93.74/140.62 = 39.62/x
  3. Step 3: Cross multiply
    93.74x = 140.62 × 39.62
  4. Step 4: Simplify right side
    93.74x = 5,571.36
  5. Step 5: Solve for x
    x = 5,571.36/93.74
  6. Step 6: Final answer
    x = 59.43

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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.