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Finding the Fourth Proportional to 94.89, 130.91 and 77.42

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Solution

The fourth proportional to 94.89, 130.91 and 77.42 is: 106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.89 : 130.91 = 77.42 : x
  2. Step 2: Convert to fraction form
    94.89/130.91 = 77.42/x
  3. Step 3: Cross multiply
    94.89x = 130.91 × 77.42
  4. Step 4: Simplify right side
    94.89x = 10,134.99
  5. Step 5: Solve for x
    x = 10,134.99/94.89
  6. Step 6: Final answer
    x = 106.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.