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Finding the Fourth Proportional to 94.52, 141.75 and 51.20

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Solution

The fourth proportional to 94.52, 141.75 and 51.20 is: 76.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.52 : 141.75 = 51.20 : x
  2. Step 2: Convert to fraction form
    94.52/141.75 = 51.20/x
  3. Step 3: Cross multiply
    94.52x = 141.75 × 51.20
  4. Step 4: Simplify right side
    94.52x = 7,257.60
  5. Step 5: Solve for x
    x = 7,257.60/94.52
  6. Step 6: Final answer
    x = 76.78

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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.