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Finding the Fourth Proportional to 94.29, 130.05 and 82.61

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Solution

The fourth proportional to 94.29, 130.05 and 82.61 is: 113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.29 : 130.05 = 82.61 : x
  2. Step 2: Convert to fraction form
    94.29/130.05 = 82.61/x
  3. Step 3: Cross multiply
    94.29x = 130.05 × 82.61
  4. Step 4: Simplify right side
    94.29x = 10,742.78
  5. Step 5: Solve for x
    x = 10,742.78/94.29
  6. Step 6: Final answer
    x = 113.93

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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.