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Finding the Fourth Proportional to 76.31, 114.47 and 22.21

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Solution

The fourth proportional to 76.31, 114.47 and 22.21 is: 33.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.31 : 114.47 = 22.21 : x
  2. Step 2: Convert to fraction form
    76.31/114.47 = 22.21/x
  3. Step 3: Cross multiply
    76.31x = 114.47 × 22.21
  4. Step 4: Simplify right side
    76.31x = 2,542.06
  5. Step 5: Solve for x
    x = 2,542.06/76.31
  6. Step 6: Final answer
    x = 33.31

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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.