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Finding the Fourth Proportional to 106.43, 159.29 and 81.90

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Solution

The fourth proportional to 106.43, 159.29 and 81.90 is: 122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.43 : 159.29 = 81.90 : x
  2. Step 2: Convert to fraction form
    106.43/159.29 = 81.90/x
  3. Step 3: Cross multiply
    106.43x = 159.29 × 81.90
  4. Step 4: Simplify right side
    106.43x = 13,045.85
  5. Step 5: Solve for x
    x = 13,045.85/106.43
  6. Step 6: Final answer
    x = 122.58

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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.