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Finding the Fourth Proportional to 148.10, 204.33 and 82.59

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Solution

The fourth proportional to 148.10, 204.33 and 82.59 is: 113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.10 : 204.33 = 82.59 : x
  2. Step 2: Convert to fraction form
    148.10/204.33 = 82.59/x
  3. Step 3: Cross multiply
    148.10x = 204.33 × 82.59
  4. Step 4: Simplify right side
    148.10x = 16,874.69
  5. Step 5: Solve for x
    x = 16,874.69/148.10
  6. Step 6: Final answer
    x = 113.95

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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.