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Finding the Fourth Proportional to 94.12, 140.65 and 72.04

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Solution

The fourth proportional to 94.12, 140.65 and 72.04 is: 107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.12 : 140.65 = 72.04 : x
  2. Step 2: Convert to fraction form
    94.12/140.65 = 72.04/x
  3. Step 3: Cross multiply
    94.12x = 140.65 × 72.04
  4. Step 4: Simplify right side
    94.12x = 10,132.43
  5. Step 5: Solve for x
    x = 10,132.43/94.12
  6. Step 6: Final answer
    x = 107.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.