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Finding the Fourth Proportional to 141.02, 194.27 and 134.07

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Solution

The fourth proportional to 141.02, 194.27 and 134.07 is: 184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.02 : 194.27 = 134.07 : x
  2. Step 2: Convert to fraction form
    141.02/194.27 = 134.07/x
  3. Step 3: Cross multiply
    141.02x = 194.27 × 134.07
  4. Step 4: Simplify right side
    141.02x = 26,044.94
  5. Step 5: Solve for x
    x = 26,044.94/141.02
  6. Step 6: Final answer
    x = 184.69

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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.