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Finding the Fourth Proportional to 142.04, 195.96 and 83.81

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Solution

The fourth proportional to 142.04, 195.96 and 83.81 is: 115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.04 : 195.96 = 83.81 : x
  2. Step 2: Convert to fraction form
    142.04/195.96 = 83.81/x
  3. Step 3: Cross multiply
    142.04x = 195.96 × 83.81
  4. Step 4: Simplify right side
    142.04x = 16,423.41
  5. Step 5: Solve for x
    x = 16,423.41/142.04
  6. Step 6: Final answer
    x = 115.63

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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.