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Finding the Fourth Proportional to 94.57, 141.23 and 76.31

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Solution

The fourth proportional to 94.57, 141.23 and 76.31 is: 113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.57 : 141.23 = 76.31 : x
  2. Step 2: Convert to fraction form
    94.57/141.23 = 76.31/x
  3. Step 3: Cross multiply
    94.57x = 141.23 × 76.31
  4. Step 4: Simplify right side
    94.57x = 10,776.85
  5. Step 5: Solve for x
    x = 10,776.85/94.57
  6. Step 6: Final answer
    x = 113.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.