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Finding the Fourth Proportional to 94.74, 141.84 and 72.96

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Solution

The fourth proportional to 94.74, 141.84 and 72.96 is: 109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.74 : 141.84 = 72.96 : x
  2. Step 2: Convert to fraction form
    94.74/141.84 = 72.96/x
  3. Step 3: Cross multiply
    94.74x = 141.84 × 72.96
  4. Step 4: Simplify right side
    94.74x = 10,348.65
  5. Step 5: Solve for x
    x = 10,348.65/94.74
  6. Step 6: Final answer
    x = 109.23

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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.