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Finding the Fourth Proportional to 94.42, 141.37 and 72.70

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Solution

The fourth proportional to 94.42, 141.37 and 72.70 is: 108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.42 : 141.37 = 72.70 : x
  2. Step 2: Convert to fraction form
    94.42/141.37 = 72.70/x
  3. Step 3: Cross multiply
    94.42x = 141.37 × 72.70
  4. Step 4: Simplify right side
    94.42x = 10,277.60
  5. Step 5: Solve for x
    x = 10,277.60/94.42
  6. Step 6: Final answer
    x = 108.85

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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.