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Finding the Fourth Proportional to 94.32, 140.84 and 82.66

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Solution

The fourth proportional to 94.32, 140.84 and 82.66 is: 123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.32 : 140.84 = 82.66 : x
  2. Step 2: Convert to fraction form
    94.32/140.84 = 82.66/x
  3. Step 3: Cross multiply
    94.32x = 140.84 × 82.66
  4. Step 4: Simplify right side
    94.32x = 11,641.63
  5. Step 5: Solve for x
    x = 11,641.63/94.32
  6. Step 6: Final answer
    x = 123.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.