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Finding the Fourth Proportional to 127.24, 190.67 and 78.49

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Solution

The fourth proportional to 127.24, 190.67 and 78.49 is: 117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.24 : 190.67 = 78.49 : x
  2. Step 2: Convert to fraction form
    127.24/190.67 = 78.49/x
  3. Step 3: Cross multiply
    127.24x = 190.67 × 78.49
  4. Step 4: Simplify right side
    127.24x = 14,965.21
  5. Step 5: Solve for x
    x = 14,965.21/127.24
  6. Step 6: Final answer
    x = 117.61

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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.