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Finding the Fourth Proportional to 94.22, 130.12 and 59.78

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Solution

The fourth proportional to 94.22, 130.12 and 59.78 is: 82.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.22 : 130.12 = 59.78 : x
  2. Step 2: Convert to fraction form
    94.22/130.12 = 59.78/x
  3. Step 3: Cross multiply
    94.22x = 130.12 × 59.78
  4. Step 4: Simplify right side
    94.22x = 7,778.57
  5. Step 5: Solve for x
    x = 7,778.57/94.22
  6. Step 6: Final answer
    x = 82.56

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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.