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Finding the Fourth Proportional to 146.03, 201.56 and 83.84

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Solution

The fourth proportional to 146.03, 201.56 and 83.84 is: 115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.03 : 201.56 = 83.84 : x
  2. Step 2: Convert to fraction form
    146.03/201.56 = 83.84/x
  3. Step 3: Cross multiply
    146.03x = 201.56 × 83.84
  4. Step 4: Simplify right side
    146.03x = 16,897.36
  5. Step 5: Solve for x
    x = 16,897.36/146.03
  6. Step 6: Final answer
    x = 115.72

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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.