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Finding the Fourth Proportional to 146.03, 201.47 and 83.82

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Solution

The fourth proportional to 146.03, 201.47 and 83.82 is: 115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.03 : 201.47 = 83.82 : x
  2. Step 2: Convert to fraction form
    146.03/201.47 = 83.82/x
  3. Step 3: Cross multiply
    146.03x = 201.47 × 83.82
  4. Step 4: Simplify right side
    146.03x = 16,885.79
  5. Step 5: Solve for x
    x = 16,885.79/146.03
  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.