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Finding the Fourth Proportional to 106.38, 159.57 and 65.73

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Solution

The fourth proportional to 106.38, 159.57 and 65.73 is: 98.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.38 : 159.57 = 65.73 : x
  2. Step 2: Convert to fraction form
    106.38/159.57 = 65.73/x
  3. Step 3: Cross multiply
    106.38x = 159.57 × 65.73
  4. Step 4: Simplify right side
    106.38x = 10,488.24
  5. Step 5: Solve for x
    x = 10,488.24/106.38
  6. Step 6: Final answer
    x = 98.59

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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.