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Finding the Fourth Proportional to 93.81, 140.66 and 32.09

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Solution

The fourth proportional to 93.81, 140.66 and 32.09 is: 48.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.81 : 140.66 = 32.09 : x
  2. Step 2: Convert to fraction form
    93.81/140.66 = 32.09/x
  3. Step 3: Cross multiply
    93.81x = 140.66 × 32.09
  4. Step 4: Simplify right side
    93.81x = 4,513.62
  5. Step 5: Solve for x
    x = 4,513.62/93.81
  6. Step 6: Final answer
    x = 48.11

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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.