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Finding the Fourth Proportional to 141.72, 195.39 and 92.58

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Solution

The fourth proportional to 141.72, 195.39 and 92.58 is: 127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.72 : 195.39 = 92.58 : x
  2. Step 2: Convert to fraction form
    141.72/195.39 = 92.58/x
  3. Step 3: Cross multiply
    141.72x = 195.39 × 92.58
  4. Step 4: Simplify right side
    141.72x = 18,089.21
  5. Step 5: Solve for x
    x = 18,089.21/141.72
  6. Step 6: Final answer
    x = 127.64

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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.