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Finding the Fourth Proportional to 141.72, 195.51 and 114.15

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Solution

The fourth proportional to 141.72, 195.51 and 114.15 is: 157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.72 : 195.51 = 114.15 : x
  2. Step 2: Convert to fraction form
    141.72/195.51 = 114.15/x
  3. Step 3: Cross multiply
    141.72x = 195.51 × 114.15
  4. Step 4: Simplify right side
    141.72x = 22,317.47
  5. Step 5: Solve for x
    x = 22,317.47/141.72
  6. Step 6: Final answer
    x = 157.48

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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.