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Finding the Fourth Proportional to 142.20, 196.16 and 102.83

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Solution

The fourth proportional to 142.20, 196.16 and 102.83 is: 141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.20 : 196.16 = 102.83 : x
  2. Step 2: Convert to fraction form
    142.20/196.16 = 102.83/x
  3. Step 3: Cross multiply
    142.20x = 196.16 × 102.83
  4. Step 4: Simplify right side
    142.20x = 20,169.64
  5. Step 5: Solve for x
    x = 20,169.64/142.20
  6. Step 6: Final answer
    x = 141.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.