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Finding the Fourth Proportional to 144.64, 199.83 and 113.73

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Solution

The fourth proportional to 144.64, 199.83 and 113.73 is: 157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.64 : 199.83 = 113.73 : x
  2. Step 2: Convert to fraction form
    144.64/199.83 = 113.73/x
  3. Step 3: Cross multiply
    144.64x = 199.83 × 113.73
  4. Step 4: Simplify right side
    144.64x = 22,726.67
  5. Step 5: Solve for x
    x = 22,726.67/144.64
  6. Step 6: Final answer
    x = 157.13

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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.