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Finding the Fourth Proportional to 146.39, 202.02 and 80.90

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Solution

The fourth proportional to 146.39, 202.02 and 80.90 is: 111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.39 : 202.02 = 80.90 : x
  2. Step 2: Convert to fraction form
    146.39/202.02 = 80.90/x
  3. Step 3: Cross multiply
    146.39x = 202.02 × 80.90
  4. Step 4: Simplify right side
    146.39x = 16,342.41
  5. Step 5: Solve for x
    x = 16,342.41/146.39
  6. Step 6: Final answer
    x = 111.64

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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.