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Finding the Fourth Proportional to 147.91, 204.13 and 82.42

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Solution

The fourth proportional to 147.91, 204.13 and 82.42 is: 113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.91 : 204.13 = 82.42 : x
  2. Step 2: Convert to fraction form
    147.91/204.13 = 82.42/x
  3. Step 3: Cross multiply
    147.91x = 204.13 × 82.42
  4. Step 4: Simplify right side
    147.91x = 16,824.39
  5. Step 5: Solve for x
    x = 16,824.39/147.91
  6. Step 6: Final answer
    x = 113.75

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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.