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Finding the Fourth Proportional to 141.93, 195.22 and 114.24

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Solution

The fourth proportional to 141.93, 195.22 and 114.24 is: 157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.93 : 195.22 = 114.24 : x
  2. Step 2: Convert to fraction form
    141.93/195.22 = 114.24/x
  3. Step 3: Cross multiply
    141.93x = 195.22 × 114.24
  4. Step 4: Simplify right side
    141.93x = 22,301.93
  5. Step 5: Solve for x
    x = 22,301.93/141.93
  6. Step 6: Final answer
    x = 157.13

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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.