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Finding the Fourth Proportional to 94.37, 140.96 and 84.71

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Solution

The fourth proportional to 94.37, 140.96 and 84.71 is: 126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.37 : 140.96 = 84.71 : x
  2. Step 2: Convert to fraction form
    94.37/140.96 = 84.71/x
  3. Step 3: Cross multiply
    94.37x = 140.96 × 84.71
  4. Step 4: Simplify right side
    94.37x = 11,941.29
  5. Step 5: Solve for x
    x = 11,941.29/94.37
  6. Step 6: Final answer
    x = 126.54

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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.