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Finding the Fourth Proportional to 141.61, 195.43 and 89.12

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Solution

The fourth proportional to 141.61, 195.43 and 89.12 is: 122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.61 : 195.43 = 89.12 : x
  2. Step 2: Convert to fraction form
    141.61/195.43 = 89.12/x
  3. Step 3: Cross multiply
    141.61x = 195.43 × 89.12
  4. Step 4: Simplify right side
    141.61x = 17,416.72
  5. Step 5: Solve for x
    x = 17,416.72/141.61
  6. Step 6: Final answer
    x = 122.99

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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.