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Finding the Fourth Proportional to 94.42, 130.47 and 82.39

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Solution

The fourth proportional to 94.42, 130.47 and 82.39 is: 113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.42 : 130.47 = 82.39 : x
  2. Step 2: Convert to fraction form
    94.42/130.47 = 82.39/x
  3. Step 3: Cross multiply
    94.42x = 130.47 × 82.39
  4. Step 4: Simplify right side
    94.42x = 10,749.42
  5. Step 5: Solve for x
    x = 10,749.42/94.42
  6. Step 6: Final answer
    x = 113.85

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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.