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Finding the Fourth Proportional to 142, 195.96 and 83.80

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Solution

The fourth proportional to 142, 195.96 and 83.80 is: 115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142 : 195.96 = 83.80 : x
  2. Step 2: Convert to fraction form
    142/195.96 = 83.80/x
  3. Step 3: Cross multiply
    142x = 195.96 × 83.80
  4. Step 4: Simplify right side
    142x = 16,421.45
  5. Step 5: Solve for x
    x = 16,421.45/142
  6. Step 6: Final answer
    x = 115.64

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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.