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Finding the Fourth Proportional to 142.33, 213.33 and 77.28

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Solution

The fourth proportional to 142.33, 213.33 and 77.28 is: 115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.33 : 213.33 = 77.28 : x
  2. Step 2: Convert to fraction form
    142.33/213.33 = 77.28/x
  3. Step 3: Cross multiply
    142.33x = 213.33 × 77.28
  4. Step 4: Simplify right side
    142.33x = 16,486.14
  5. Step 5: Solve for x
    x = 16,486.14/142.33
  6. Step 6: Final answer
    x = 115.83

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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.