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Finding the Fourth Proportional to 94.08, 140.96 and 51.24

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Solution

The fourth proportional to 94.08, 140.96 and 51.24 is: 76.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.08 : 140.96 = 51.24 : x
  2. Step 2: Convert to fraction form
    94.08/140.96 = 51.24/x
  3. Step 3: Cross multiply
    94.08x = 140.96 × 51.24
  4. Step 4: Simplify right side
    94.08x = 7,222.79
  5. Step 5: Solve for x
    x = 7,222.79/94.08
  6. Step 6: Final answer
    x = 76.77

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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.