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Finding the Fourth Proportional to 141.05, 194.72 and 88.61

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Solution

The fourth proportional to 141.05, 194.72 and 88.61 is: 122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.05 : 194.72 = 88.61 : x
  2. Step 2: Convert to fraction form
    141.05/194.72 = 88.61/x
  3. Step 3: Cross multiply
    141.05x = 194.72 × 88.61
  4. Step 4: Simplify right side
    141.05x = 17,252.72
  5. Step 5: Solve for x
    x = 17,252.72/141.05
  6. Step 6: Final answer
    x = 122.31

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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.