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Finding the Fourth Proportional to 76.24, 114.38 and 27.49

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Solution

The fourth proportional to 76.24, 114.38 and 27.49 is: 41.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.24 : 114.38 = 27.49 : x
  2. Step 2: Convert to fraction form
    76.24/114.38 = 27.49/x
  3. Step 3: Cross multiply
    76.24x = 114.38 × 27.49
  4. Step 4: Simplify right side
    76.24x = 3,144.09
  5. Step 5: Solve for x
    x = 3,144.09/76.24
  6. Step 6: Final answer
    x = 41.24

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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.