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Finding the Fourth Proportional to 142.24, 213.42 and 77.23

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Solution

The fourth proportional to 142.24, 213.42 and 77.23 is: 115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.24 : 213.42 = 77.23 : x
  2. Step 2: Convert to fraction form
    142.24/213.42 = 77.23/x
  3. Step 3: Cross multiply
    142.24x = 213.42 × 77.23
  4. Step 4: Simplify right side
    142.24x = 16,482.43
  5. Step 5: Solve for x
    x = 16,482.43/142.24
  6. Step 6: Final answer
    x = 115.88

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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.