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Finding the Fourth Proportional to 154.91, 213.71 and 95.86

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Solution

The fourth proportional to 154.91, 213.71 and 95.86 is: 132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.91 : 213.71 = 95.86 : x
  2. Step 2: Convert to fraction form
    154.91/213.71 = 95.86/x
  3. Step 3: Cross multiply
    154.91x = 213.71 × 95.86
  4. Step 4: Simplify right side
    154.91x = 20,485.95
  5. Step 5: Solve for x
    x = 20,485.95/154.91
  6. Step 6: Final answer
    x = 132.24

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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.