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Finding the Fourth Proportional to 144.61, 199.58 and 82.45

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Solution

The fourth proportional to 144.61, 199.58 and 82.45 is: 113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.61 : 199.58 = 82.45 : x
  2. Step 2: Convert to fraction form
    144.61/199.58 = 82.45/x
  3. Step 3: Cross multiply
    144.61x = 199.58 × 82.45
  4. Step 4: Simplify right side
    144.61x = 16,455.37
  5. Step 5: Solve for x
    x = 16,455.37/144.61
  6. Step 6: Final answer
    x = 113.79

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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.