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Finding the Fourth Proportional to 141.26, 194.98 and 89.54

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Solution

The fourth proportional to 141.26, 194.98 and 89.54 is: 123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.26 : 194.98 = 89.54 : x
  2. Step 2: Convert to fraction form
    141.26/194.98 = 89.54/x
  3. Step 3: Cross multiply
    141.26x = 194.98 × 89.54
  4. Step 4: Simplify right side
    141.26x = 17,458.51
  5. Step 5: Solve for x
    x = 17,458.51/141.26
  6. Step 6: Final answer
    x = 123.59

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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.