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Finding the Fourth Proportional to 143.03, 214.34 and 77.98

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Solution

The fourth proportional to 143.03, 214.34 and 77.98 is: 116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.03 : 214.34 = 77.98 : x
  2. Step 2: Convert to fraction form
    143.03/214.34 = 77.98/x
  3. Step 3: Cross multiply
    143.03x = 214.34 × 77.98
  4. Step 4: Simplify right side
    143.03x = 16,713.89
  5. Step 5: Solve for x
    x = 16,713.89/143.03
  6. Step 6: Final answer
    x = 116.85

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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.