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Finding the Fourth Proportional to 93.82, 140.59 and 66.82

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Solution

The fourth proportional to 93.82, 140.59 and 66.82 is: 100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.82 : 140.59 = 66.82 : x
  2. Step 2: Convert to fraction form
    93.82/140.59 = 66.82/x
  3. Step 3: Cross multiply
    93.82x = 140.59 × 66.82
  4. Step 4: Simplify right side
    93.82x = 9,394.22
  5. Step 5: Solve for x
    x = 9,394.22/93.82
  6. Step 6: Final answer
    x = 100.13

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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.