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Finding the Fourth Proportional to 141.86, 195.85 and 112.47

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Solution

The fourth proportional to 141.86, 195.85 and 112.47 is: 155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.86 : 195.85 = 112.47 : x
  2. Step 2: Convert to fraction form
    141.86/195.85 = 112.47/x
  3. Step 3: Cross multiply
    141.86x = 195.85 × 112.47
  4. Step 4: Simplify right side
    141.86x = 22,026.02
  5. Step 5: Solve for x
    x = 22,026.02/141.86
  6. Step 6: Final answer
    x = 155.27

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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.