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Finding the Fourth Proportional to 141.86, 211.72 and 125.66

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Solution

The fourth proportional to 141.86, 211.72 and 125.66 is: 187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.86 : 211.72 = 125.66 : x
  2. Step 2: Convert to fraction form
    141.86/211.72 = 125.66/x
  3. Step 3: Cross multiply
    141.86x = 211.72 × 125.66
  4. Step 4: Simplify right side
    141.86x = 26,604.74
  5. Step 5: Solve for x
    x = 26,604.74/141.86
  6. Step 6: Final answer
    x = 187.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.