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Finding the Fourth Proportional to 76.26, 114.32 and 27.50

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Solution

The fourth proportional to 76.26, 114.32 and 27.50 is: 41.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.26 : 114.32 = 27.50 : x
  2. Step 2: Convert to fraction form
    76.26/114.32 = 27.50/x
  3. Step 3: Cross multiply
    76.26x = 114.32 × 27.50
  4. Step 4: Simplify right side
    76.26x = 3,143.80
  5. Step 5: Solve for x
    x = 3,143.80/76.26
  6. Step 6: Final answer
    x = 41.22

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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.