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Finding the Fourth Proportional to 141.04, 194.56 and 97.36

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Solution

The fourth proportional to 141.04, 194.56 and 97.36 is: 134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.04 : 194.56 = 97.36 : x
  2. Step 2: Convert to fraction form
    141.04/194.56 = 97.36/x
  3. Step 3: Cross multiply
    141.04x = 194.56 × 97.36
  4. Step 4: Simplify right side
    141.04x = 18,942.36
  5. Step 5: Solve for x
    x = 18,942.36/141.04
  6. Step 6: Final answer
    x = 134.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.