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Finding the Fourth Proportional to 144.81, 199.86 and 85.83

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Solution

The fourth proportional to 144.81, 199.86 and 85.83 is: 118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.81 : 199.86 = 85.83 : x
  2. Step 2: Convert to fraction form
    144.81/199.86 = 85.83/x
  3. Step 3: Cross multiply
    144.81x = 199.86 × 85.83
  4. Step 4: Simplify right side
    144.81x = 17,153.98
  5. Step 5: Solve for x
    x = 17,153.98/144.81
  6. Step 6: Final answer
    x = 118.46

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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.