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Finding the Fourth Proportional to 141.79, 195.93 and 102.91

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Solution

The fourth proportional to 141.79, 195.93 and 102.91 is: 142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.79 : 195.93 = 102.91 : x
  2. Step 2: Convert to fraction form
    141.79/195.93 = 102.91/x
  3. Step 3: Cross multiply
    141.79x = 195.93 × 102.91
  4. Step 4: Simplify right side
    141.79x = 20,163.16
  5. Step 5: Solve for x
    x = 20,163.16/141.79
  6. Step 6: Final answer
    x = 142.20

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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.