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Finding the Fourth Proportional to 142.54, 213.79 and 51.24

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Solution

The fourth proportional to 142.54, 213.79 and 51.24 is: 76.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.54 : 213.79 = 51.24 : x
  2. Step 2: Convert to fraction form
    142.54/213.79 = 51.24/x
  3. Step 3: Cross multiply
    142.54x = 213.79 × 51.24
  4. Step 4: Simplify right side
    142.54x = 10,954.60
  5. Step 5: Solve for x
    x = 10,954.60/142.54
  6. Step 6: Final answer
    x = 76.85

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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.