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Finding the Fourth Proportional to 76.07, 114.12 and 27.97

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Solution

The fourth proportional to 76.07, 114.12 and 27.97 is: 41.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.07 : 114.12 = 27.97 : x
  2. Step 2: Convert to fraction form
    76.07/114.12 = 27.97/x
  3. Step 3: Cross multiply
    76.07x = 114.12 × 27.97
  4. Step 4: Simplify right side
    76.07x = 3,191.94
  5. Step 5: Solve for x
    x = 3,191.94/76.07
  6. Step 6: Final answer
    x = 41.96

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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.