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Finding the Fourth Proportional to 144.14, 215.86 and 75.49

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Solution

The fourth proportional to 144.14, 215.86 and 75.49 is: 113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.14 : 215.86 = 75.49 : x
  2. Step 2: Convert to fraction form
    144.14/215.86 = 75.49/x
  3. Step 3: Cross multiply
    144.14x = 215.86 × 75.49
  4. Step 4: Simplify right side
    144.14x = 16,295.27
  5. Step 5: Solve for x
    x = 16,295.27/144.14
  6. Step 6: Final answer
    x = 113.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.