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Finding the Fourth Proportional to 142.45, 196.62 and 84.24

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Solution

The fourth proportional to 142.45, 196.62 and 84.24 is: 116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.45 : 196.62 = 84.24 : x
  2. Step 2: Convert to fraction form
    142.45/196.62 = 84.24/x
  3. Step 3: Cross multiply
    142.45x = 196.62 × 84.24
  4. Step 4: Simplify right side
    142.45x = 16,563.27
  5. Step 5: Solve for x
    x = 16,563.27/142.45
  6. Step 6: Final answer
    x = 116.27

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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.