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Finding the Fourth Proportional to 142.19, 196.20 and 82.37

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Solution

The fourth proportional to 142.19, 196.20 and 82.37 is: 113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.19 : 196.20 = 82.37 : x
  2. Step 2: Convert to fraction form
    142.19/196.20 = 82.37/x
  3. Step 3: Cross multiply
    142.19x = 196.20 × 82.37
  4. Step 4: Simplify right side
    142.19x = 16,159.60
  5. Step 5: Solve for x
    x = 16,159.60/142.19
  6. Step 6: Final answer
    x = 113.65

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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.