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Finding the Fourth Proportional to 76.26, 114.31 and 27.47

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Solution

The fourth proportional to 76.26, 114.31 and 27.47 is: 41.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.26 : 114.31 = 27.47 : x
  2. Step 2: Convert to fraction form
    76.26/114.31 = 27.47/x
  3. Step 3: Cross multiply
    76.26x = 114.31 × 27.47
  4. Step 4: Simplify right side
    76.26x = 3,139.52
  5. Step 5: Solve for x
    x = 3,139.52/76.26
  6. Step 6: Final answer
    x = 41.17

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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.