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Finding the Fourth Proportional to 76.37, 114.55 and 28.27

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Solution

The fourth proportional to 76.37, 114.55 and 28.27 is: 42.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.37 : 114.55 = 28.27 : x
  2. Step 2: Convert to fraction form
    76.37/114.55 = 28.27/x
  3. Step 3: Cross multiply
    76.37x = 114.55 × 28.27
  4. Step 4: Simplify right side
    76.37x = 3,238.33
  5. Step 5: Solve for x
    x = 3,238.33/76.37
  6. Step 6: Final answer
    x = 42.40

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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.