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Finding the Fourth Proportional to 143.23, 214.78 and 51.91

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Solution

The fourth proportional to 143.23, 214.78 and 51.91 is: 77.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.23 : 214.78 = 51.91 : x
  2. Step 2: Convert to fraction form
    143.23/214.78 = 51.91/x
  3. Step 3: Cross multiply
    143.23x = 214.78 × 51.91
  4. Step 4: Simplify right side
    143.23x = 11,149.23
  5. Step 5: Solve for x
    x = 11,149.23/143.23
  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.