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Finding the Fourth Proportional to 141.72, 195.46 and 89.22

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Solution

The fourth proportional to 141.72, 195.46 and 89.22 is: 123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.72 : 195.46 = 89.22 : x
  2. Step 2: Convert to fraction form
    141.72/195.46 = 89.22/x
  3. Step 3: Cross multiply
    141.72x = 195.46 × 89.22
  4. Step 4: Simplify right side
    141.72x = 17,438.94
  5. Step 5: Solve for x
    x = 17,438.94/141.72
  6. Step 6: Final answer
    x = 123.05

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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.