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Finding the Fourth Proportional to 94.25, 141.69 and 75.23

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Solution

The fourth proportional to 94.25, 141.69 and 75.23 is: 113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.25 : 141.69 = 75.23 : x
  2. Step 2: Convert to fraction form
    94.25/141.69 = 75.23/x
  3. Step 3: Cross multiply
    94.25x = 141.69 × 75.23
  4. Step 4: Simplify right side
    94.25x = 10,659.34
  5. Step 5: Solve for x
    x = 10,659.34/94.25
  6. Step 6: Final answer
    x = 113.10

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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.