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Finding the Fourth Proportional to 94.72, 141.92 and 54.24

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Solution

The fourth proportional to 94.72, 141.92 and 54.24 is: 81.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.72 : 141.92 = 54.24 : x
  2. Step 2: Convert to fraction form
    94.72/141.92 = 54.24/x
  3. Step 3: Cross multiply
    94.72x = 141.92 × 54.24
  4. Step 4: Simplify right side
    94.72x = 7,697.74
  5. Step 5: Solve for x
    x = 7,697.74/94.72
  6. Step 6: Final answer
    x = 81.27

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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.