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Finding the Fourth Proportional to 106.10, 159.17 and 32.97

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Solution

The fourth proportional to 106.10, 159.17 and 32.97 is: 49.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.10 : 159.17 = 32.97 : x
  2. Step 2: Convert to fraction form
    106.10/159.17 = 32.97/x
  3. Step 3: Cross multiply
    106.10x = 159.17 × 32.97
  4. Step 4: Simplify right side
    106.10x = 5,247.92
  5. Step 5: Solve for x
    x = 5,247.92/106.10
  6. Step 6: Final answer
    x = 49.46

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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.