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Finding the Fourth Proportional to 76.52, 114.73 and 27.09

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Solution

The fourth proportional to 76.52, 114.73 and 27.09 is: 40.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.52 : 114.73 = 27.09 : x
  2. Step 2: Convert to fraction form
    76.52/114.73 = 27.09/x
  3. Step 3: Cross multiply
    76.52x = 114.73 × 27.09
  4. Step 4: Simplify right side
    76.52x = 3,108.04
  5. Step 5: Solve for x
    x = 3,108.04/76.52
  6. Step 6: Final answer
    x = 40.62

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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.