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Finding the Fourth Proportional to 144.67, 199.63 and 113.66

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Solution

The fourth proportional to 144.67, 199.63 and 113.66 is: 156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.67 : 199.63 = 113.66 : x
  2. Step 2: Convert to fraction form
    144.67/199.63 = 113.66/x
  3. Step 3: Cross multiply
    144.67x = 199.63 × 113.66
  4. Step 4: Simplify right side
    144.67x = 22,690.40
  5. Step 5: Solve for x
    x = 22,690.40/144.67
  6. Step 6: Final answer
    x = 156.84

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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.