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Finding the Fourth Proportional to 94.97, 142.49 and 53.80

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Solution

The fourth proportional to 94.97, 142.49 and 53.80 is: 80.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.97 : 142.49 = 53.80 : x
  2. Step 2: Convert to fraction form
    94.97/142.49 = 53.80/x
  3. Step 3: Cross multiply
    94.97x = 142.49 × 53.80
  4. Step 4: Simplify right side
    94.97x = 7,665.74
  5. Step 5: Solve for x
    x = 7,665.74/94.97
  6. Step 6: Final answer
    x = 80.72

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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.