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Finding the Fourth Proportional to 142.59, 213.83 and 51.27

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Solution

The fourth proportional to 142.59, 213.83 and 51.27 is: 76.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.59 : 213.83 = 51.27 : x
  2. Step 2: Convert to fraction form
    142.59/213.83 = 51.27/x
  3. Step 3: Cross multiply
    142.59x = 213.83 × 51.27
  4. Step 4: Simplify right side
    142.59x = 10,963.06
  5. Step 5: Solve for x
    x = 10,963.06/142.59
  6. Step 6: Final answer
    x = 76.89

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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.