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Finding the Fourth Proportional to 128.82, 193.14 and 83.10

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Solution

The fourth proportional to 128.82, 193.14 and 83.10 is: 124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.82 : 193.14 = 83.10 : x
  2. Step 2: Convert to fraction form
    128.82/193.14 = 83.10/x
  3. Step 3: Cross multiply
    128.82x = 193.14 × 83.10
  4. Step 4: Simplify right side
    128.82x = 16,049.93
  5. Step 5: Solve for x
    x = 16,049.93/128.82
  6. Step 6: Final answer
    x = 124.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.