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Finding the Fourth Proportional to 76.22, 114.31 and 61.75

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Solution

The fourth proportional to 76.22, 114.31 and 61.75 is: 92.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.22 : 114.31 = 61.75 : x
  2. Step 2: Convert to fraction form
    76.22/114.31 = 61.75/x
  3. Step 3: Cross multiply
    76.22x = 114.31 × 61.75
  4. Step 4: Simplify right side
    76.22x = 7,058.64
  5. Step 5: Solve for x
    x = 7,058.64/76.22
  6. Step 6: Final answer
    x = 92.61

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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.