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Finding the Fourth Proportional to 148.06, 204.30 and 82.55

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Solution

The fourth proportional to 148.06, 204.30 and 82.55 is: 113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.06 : 204.30 = 82.55 : x
  2. Step 2: Convert to fraction form
    148.06/204.30 = 82.55/x
  3. Step 3: Cross multiply
    148.06x = 204.30 × 82.55
  4. Step 4: Simplify right side
    148.06x = 16,864.97
  5. Step 5: Solve for x
    x = 16,864.97/148.06
  6. Step 6: Final answer
    x = 113.91

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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.