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Finding the Fourth Proportional to 142.14, 196.11 and 83.10

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Solution

The fourth proportional to 142.14, 196.11 and 83.10 is: 114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.14 : 196.11 = 83.10 : x
  2. Step 2: Convert to fraction form
    142.14/196.11 = 83.10/x
  3. Step 3: Cross multiply
    142.14x = 196.11 × 83.10
  4. Step 4: Simplify right side
    142.14x = 16,296.74
  5. Step 5: Solve for x
    x = 16,296.74/142.14
  6. Step 6: Final answer
    x = 114.65

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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.