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Finding the Fourth Proportional to 143.20, 214.74 and 51.91

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Solution

The fourth proportional to 143.20, 214.74 and 51.91 is: 77.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.20 : 214.74 = 51.91 : x
  2. Step 2: Convert to fraction form
    143.20/214.74 = 51.91/x
  3. Step 3: Cross multiply
    143.20x = 214.74 × 51.91
  4. Step 4: Simplify right side
    143.20x = 11,147.15
  5. Step 5: Solve for x
    x = 11,147.15/143.20
  6. Step 6: Final answer
    x = 77.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.