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Finding the Fourth Proportional to 94.91, 142.24 and 53.68

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Solution

The fourth proportional to 94.91, 142.24 and 53.68 is: 80.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.91 : 142.24 = 53.68 : x
  2. Step 2: Convert to fraction form
    94.91/142.24 = 53.68/x
  3. Step 3: Cross multiply
    94.91x = 142.24 × 53.68
  4. Step 4: Simplify right side
    94.91x = 7,634.46
  5. Step 5: Solve for x
    x = 7,634.46/94.91
  6. Step 6: Final answer
    x = 80.44

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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.