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Finding the Fourth Proportional to 142.28, 213.12 and 78

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Solution

The fourth proportional to 142.28, 213.12 and 78 is: 116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.28 : 213.12 = 78 : x
  2. Step 2: Convert to fraction form
    142.28/213.12 = 78/x
  3. Step 3: Cross multiply
    142.28x = 213.12 × 78
  4. Step 4: Simplify right side
    142.28x = 16,623.36
  5. Step 5: Solve for x
    x = 16,623.36/142.28
  6. Step 6: Final answer
    x = 116.84

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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.