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Finding the Fourth Proportional to 148.63, 205.11 and 82.24

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Solution

The fourth proportional to 148.63, 205.11 and 82.24 is: 113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.63 : 205.11 = 82.24 : x
  2. Step 2: Convert to fraction form
    148.63/205.11 = 82.24/x
  3. Step 3: Cross multiply
    148.63x = 205.11 × 82.24
  4. Step 4: Simplify right side
    148.63x = 16,868.50
  5. Step 5: Solve for x
    x = 16,868.50/148.63
  6. Step 6: Final answer
    x = 113.50

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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.