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Finding the Fourth Proportional to 94.12, 140.91 and 61.66

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Solution

The fourth proportional to 94.12, 140.91 and 61.66 is: 92.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.12 : 140.91 = 61.66 : x
  2. Step 2: Convert to fraction form
    94.12/140.91 = 61.66/x
  3. Step 3: Cross multiply
    94.12x = 140.91 × 61.66
  4. Step 4: Simplify right side
    94.12x = 8,687.50
  5. Step 5: Solve for x
    x = 8,687.50/94.12
  6. Step 6: Final answer
    x = 92.31

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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.