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Finding the Fourth Proportional to 148.17, 204.49 and 82.68

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Solution

The fourth proportional to 148.17, 204.49 and 82.68 is: 114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.17 : 204.49 = 82.68 : x
  2. Step 2: Convert to fraction form
    148.17/204.49 = 82.68/x
  3. Step 3: Cross multiply
    148.17x = 204.49 × 82.68
  4. Step 4: Simplify right side
    148.17x = 16,907.23
  5. Step 5: Solve for x
    x = 16,907.23/148.17
  6. Step 6: Final answer
    x = 114.11

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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.