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Finding the Fourth Proportional to 106.38, 159.46 and 54.99

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Solution

The fourth proportional to 106.38, 159.46 and 54.99 is: 82.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.38 : 159.46 = 54.99 : x
  2. Step 2: Convert to fraction form
    106.38/159.46 = 54.99/x
  3. Step 3: Cross multiply
    106.38x = 159.46 × 54.99
  4. Step 4: Simplify right side
    106.38x = 8,768.71
  5. Step 5: Solve for x
    x = 8,768.71/106.38
  6. Step 6: Final answer
    x = 82.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.