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Finding the Fourth Proportional to 94.16, 141.28 and 50.82

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Solution

The fourth proportional to 94.16, 141.28 and 50.82 is: 76.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.16 : 141.28 = 50.82 : x
  2. Step 2: Convert to fraction form
    94.16/141.28 = 50.82/x
  3. Step 3: Cross multiply
    94.16x = 141.28 × 50.82
  4. Step 4: Simplify right side
    94.16x = 7,179.14
  5. Step 5: Solve for x
    x = 7,179.14/94.16
  6. Step 6: Final answer
    x = 76.24

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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.