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Finding the Fourth Proportional to 141.35, 195.21 and 113.81

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Solution

The fourth proportional to 141.35, 195.21 and 113.81 is: 157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.35 : 195.21 = 113.81 : x
  2. Step 2: Convert to fraction form
    141.35/195.21 = 113.81/x
  3. Step 3: Cross multiply
    141.35x = 195.21 × 113.81
  4. Step 4: Simplify right side
    141.35x = 22,215.87
  5. Step 5: Solve for x
    x = 22,215.87/141.35
  6. Step 6: Final answer
    x = 157.17

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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.