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Finding the Fourth Proportional to 94.37, 141.41 and 65.38

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Solution

The fourth proportional to 94.37, 141.41 and 65.38 is: 97.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.37 : 141.41 = 65.38 : x
  2. Step 2: Convert to fraction form
    94.37/141.41 = 65.38/x
  3. Step 3: Cross multiply
    94.37x = 141.41 × 65.38
  4. Step 4: Simplify right side
    94.37x = 9,244.83
  5. Step 5: Solve for x
    x = 9,244.83/94.37
  6. Step 6: Final answer
    x = 97.96

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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.