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Finding the Fourth Proportional to 141.84, 195.81 and 89.43

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Solution

The fourth proportional to 141.84, 195.81 and 89.43 is: 123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.84 : 195.81 = 89.43 : x
  2. Step 2: Convert to fraction form
    141.84/195.81 = 89.43/x
  3. Step 3: Cross multiply
    141.84x = 195.81 × 89.43
  4. Step 4: Simplify right side
    141.84x = 17,511.66
  5. Step 5: Solve for x
    x = 17,511.66/141.84
  6. Step 6: Final answer
    x = 123.46

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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.