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Finding the Fourth Proportional to 141.41, 194.81 and 99.89

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Solution

The fourth proportional to 141.41, 194.81 and 99.89 is: 137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.41 : 194.81 = 99.89 : x
  2. Step 2: Convert to fraction form
    141.41/194.81 = 99.89/x
  3. Step 3: Cross multiply
    141.41x = 194.81 × 99.89
  4. Step 4: Simplify right side
    141.41x = 19,460.49
  5. Step 5: Solve for x
    x = 19,460.49/141.41
  6. Step 6: Final answer
    x = 137.62

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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.