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Finding the Fourth Proportional to 106.24, 159.38 and 34.09

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Solution

The fourth proportional to 106.24, 159.38 and 34.09 is: 51.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.24 : 159.38 = 34.09 : x
  2. Step 2: Convert to fraction form
    106.24/159.38 = 34.09/x
  3. Step 3: Cross multiply
    106.24x = 159.38 × 34.09
  4. Step 4: Simplify right side
    106.24x = 5,433.26
  5. Step 5: Solve for x
    x = 5,433.26/106.24
  6. Step 6: Final answer
    x = 51.14

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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.