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Finding the Fourth Proportional to 94.98, 142.38 and 51.62

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Solution

The fourth proportional to 94.98, 142.38 and 51.62 is: 77.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.98 : 142.38 = 51.62 : x
  2. Step 2: Convert to fraction form
    94.98/142.38 = 51.62/x
  3. Step 3: Cross multiply
    94.98x = 142.38 × 51.62
  4. Step 4: Simplify right side
    94.98x = 7,348.94
  5. Step 5: Solve for x
    x = 7,348.94/94.98
  6. Step 6: Final answer
    x = 77.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.