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Finding the Fourth Proportional to 148.82, 205.44 and 99.05

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Solution

The fourth proportional to 148.82, 205.44 and 99.05 is: 136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.82 : 205.44 = 99.05 : x
  2. Step 2: Convert to fraction form
    148.82/205.44 = 99.05/x
  3. Step 3: Cross multiply
    148.82x = 205.44 × 99.05
  4. Step 4: Simplify right side
    148.82x = 20,348.83
  5. Step 5: Solve for x
    x = 20,348.83/148.82
  6. Step 6: Final answer
    x = 136.73

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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.