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Finding the Fourth Proportional to 146.97, 202.84 and 81.50

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Solution

The fourth proportional to 146.97, 202.84 and 81.50 is: 112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.97 : 202.84 = 81.50 : x
  2. Step 2: Convert to fraction form
    146.97/202.84 = 81.50/x
  3. Step 3: Cross multiply
    146.97x = 202.84 × 81.50
  4. Step 4: Simplify right side
    146.97x = 16,530.24
  5. Step 5: Solve for x
    x = 16,530.24/146.97
  6. Step 6: Final answer
    x = 112.47

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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.