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Finding the Fourth Proportional to 94.46, 141.48 and 53.78

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Solution

The fourth proportional to 94.46, 141.48 and 53.78 is: 80.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.46 : 141.48 = 53.78 : x
  2. Step 2: Convert to fraction form
    94.46/141.48 = 53.78/x
  3. Step 3: Cross multiply
    94.46x = 141.48 × 53.78
  4. Step 4: Simplify right side
    94.46x = 7,608.09
  5. Step 5: Solve for x
    x = 7,608.09/94.46
  6. Step 6: Final answer
    x = 80.55

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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.