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Finding the Fourth Proportional to 94.26, 141.42 and 51.50

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Solution

The fourth proportional to 94.26, 141.42 and 51.50 is: 77.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.26 : 141.42 = 51.50 : x
  2. Step 2: Convert to fraction form
    94.26/141.42 = 51.50/x
  3. Step 3: Cross multiply
    94.26x = 141.42 × 51.50
  4. Step 4: Simplify right side
    94.26x = 7,283.13
  5. Step 5: Solve for x
    x = 7,283.13/94.26
  6. Step 6: Final answer
    x = 77.27

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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.