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Finding the Fourth Proportional to 94.07, 140.35 and 85.41

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Solution

The fourth proportional to 94.07, 140.35 and 85.41 is: 127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.07 : 140.35 = 85.41 : x
  2. Step 2: Convert to fraction form
    94.07/140.35 = 85.41/x
  3. Step 3: Cross multiply
    94.07x = 140.35 × 85.41
  4. Step 4: Simplify right side
    94.07x = 11,987.29
  5. Step 5: Solve for x
    x = 11,987.29/94.07
  6. Step 6: Final answer
    x = 127.43

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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.