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Finding the Fourth Proportional to 94.90, 141.41 and 83.56

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Solution

The fourth proportional to 94.90, 141.41 and 83.56 is: 124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.90 : 141.41 = 83.56 : x
  2. Step 2: Convert to fraction form
    94.90/141.41 = 83.56/x
  3. Step 3: Cross multiply
    94.90x = 141.41 × 83.56
  4. Step 4: Simplify right side
    94.90x = 11,816.22
  5. Step 5: Solve for x
    x = 11,816.22/94.90
  6. Step 6: Final answer
    x = 124.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.