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Finding the Fourth Proportional to 144.38, 199.17 and 97.77

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Solution

The fourth proportional to 144.38, 199.17 and 97.77 is: 134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.38 : 199.17 = 97.77 : x
  2. Step 2: Convert to fraction form
    144.38/199.17 = 97.77/x
  3. Step 3: Cross multiply
    144.38x = 199.17 × 97.77
  4. Step 4: Simplify right side
    144.38x = 19,471.37
  5. Step 5: Solve for x
    x = 19,471.37/144.38
  6. Step 6: Final answer
    x = 134.86

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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.