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Finding the Fourth Proportional to 106.91, 159.38 and 98.27

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Solution

The fourth proportional to 106.91, 159.38 and 98.27 is: 146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.91 : 159.38 = 98.27 : x
  2. Step 2: Convert to fraction form
    106.91/159.38 = 98.27/x
  3. Step 3: Cross multiply
    106.91x = 159.38 × 98.27
  4. Step 4: Simplify right side
    106.91x = 15,660.98
  5. Step 5: Solve for x
    x = 15,660.98/106.91
  6. Step 6: Final answer
    x = 146.49

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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.