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Finding the Fourth Proportional to 143.77, 198.41 and 78.28

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Solution

The fourth proportional to 143.77, 198.41 and 78.28 is: 108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.77 : 198.41 = 78.28 : x
  2. Step 2: Convert to fraction form
    143.77/198.41 = 78.28/x
  3. Step 3: Cross multiply
    143.77x = 198.41 × 78.28
  4. Step 4: Simplify right side
    143.77x = 15,530.84
  5. Step 5: Solve for x
    x = 15,530.84/143.77
  6. Step 6: Final answer
    x = 108.02

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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.