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Finding the Fourth Proportional to 94.46, 141.45 and 46.25

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Solution

The fourth proportional to 94.46, 141.45 and 46.25 is: 69.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.46 : 141.45 = 46.25 : x
  2. Step 2: Convert to fraction form
    94.46/141.45 = 46.25/x
  3. Step 3: Cross multiply
    94.46x = 141.45 × 46.25
  4. Step 4: Simplify right side
    94.46x = 6,542.06
  5. Step 5: Solve for x
    x = 6,542.06/94.46
  6. Step 6: Final answer
    x = 69.26

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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.