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Finding the Fourth Proportional to 94.62, 130.49 and 77.13

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Solution

The fourth proportional to 94.62, 130.49 and 77.13 is: 106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.62 : 130.49 = 77.13 : x
  2. Step 2: Convert to fraction form
    94.62/130.49 = 77.13/x
  3. Step 3: Cross multiply
    94.62x = 130.49 × 77.13
  4. Step 4: Simplify right side
    94.62x = 10,064.69
  5. Step 5: Solve for x
    x = 10,064.69/94.62
  6. Step 6: Final answer
    x = 106.37

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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.