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Finding the Fourth Proportional to 147.94, 204.15 and 82.45

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Solution

The fourth proportional to 147.94, 204.15 and 82.45 is: 113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.94 : 204.15 = 82.45 : x
  2. Step 2: Convert to fraction form
    147.94/204.15 = 82.45/x
  3. Step 3: Cross multiply
    147.94x = 204.15 × 82.45
  4. Step 4: Simplify right side
    147.94x = 16,832.73
  5. Step 5: Solve for x
    x = 16,832.73/147.94
  6. Step 6: Final answer
    x = 113.78

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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.