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Finding the Fourth Proportional to 94.16, 140.63 and 84.94

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Solution

The fourth proportional to 94.16, 140.63 and 84.94 is: 126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.16 : 140.63 = 84.94 : x
  2. Step 2: Convert to fraction form
    94.16/140.63 = 84.94/x
  3. Step 3: Cross multiply
    94.16x = 140.63 × 84.94
  4. Step 4: Simplify right side
    94.16x = 11,944.34
  5. Step 5: Solve for x
    x = 11,944.34/94.16
  6. Step 6: Final answer
    x = 126.85

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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.