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Finding the Fourth Proportional to 141.46, 195.22 and 102.18

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Solution

The fourth proportional to 141.46, 195.22 and 102.18 is: 141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.46 : 195.22 = 102.18 : x
  2. Step 2: Convert to fraction form
    141.46/195.22 = 102.18/x
  3. Step 3: Cross multiply
    141.46x = 195.22 × 102.18
  4. Step 4: Simplify right side
    141.46x = 19,947.58
  5. Step 5: Solve for x
    x = 19,947.58/141.46
  6. Step 6: Final answer
    x = 141.01

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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.