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Finding the Fourth Proportional to 94.31, 141.32 and 53.61

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Solution

The fourth proportional to 94.31, 141.32 and 53.61 is: 80.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.31 : 141.32 = 53.61 : x
  2. Step 2: Convert to fraction form
    94.31/141.32 = 53.61/x
  3. Step 3: Cross multiply
    94.31x = 141.32 × 53.61
  4. Step 4: Simplify right side
    94.31x = 7,576.41
  5. Step 5: Solve for x
    x = 7,576.41/94.31
  6. Step 6: Final answer
    x = 80.33

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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.