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Finding the Fourth Proportional to 141.16, 194.75 and 78.98

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Solution

The fourth proportional to 141.16, 194.75 and 78.98 is: 108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.16 : 194.75 = 78.98 : x
  2. Step 2: Convert to fraction form
    141.16/194.75 = 78.98/x
  3. Step 3: Cross multiply
    141.16x = 194.75 × 78.98
  4. Step 4: Simplify right side
    141.16x = 15,379.99
  5. Step 5: Solve for x
    x = 15,379.99/141.16
  6. Step 6: Final answer
    x = 108.96

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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.