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Finding the Fourth Proportional to 83.70, 124.93 and 82.94

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Solution

The fourth proportional to 83.70, 124.93 and 82.94 is: 123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.70 : 124.93 = 82.94 : x
  2. Step 2: Convert to fraction form
    83.70/124.93 = 82.94/x
  3. Step 3: Cross multiply
    83.70x = 124.93 × 82.94
  4. Step 4: Simplify right side
    83.70x = 10,361.69
  5. Step 5: Solve for x
    x = 10,361.69/83.70
  6. Step 6: Final answer
    x = 123.80

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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.