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Finding the Fourth Proportional to 94.30, 141.26 and 75.02

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Solution

The fourth proportional to 94.30, 141.26 and 75.02 is: 112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.30 : 141.26 = 75.02 : x
  2. Step 2: Convert to fraction form
    94.30/141.26 = 75.02/x
  3. Step 3: Cross multiply
    94.30x = 141.26 × 75.02
  4. Step 4: Simplify right side
    94.30x = 10,596.24
  5. Step 5: Solve for x
    x = 10,596.24/94.30
  6. Step 6: Final answer
    x = 112.37

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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.