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Finding the Fourth Proportional to 106.08, 159 and 83.16

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Solution

The fourth proportional to 106.08, 159 and 83.16 is: 124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.08 : 159 = 83.16 : x
  2. Step 2: Convert to fraction form
    106.08/159 = 83.16/x
  3. Step 3: Cross multiply
    106.08x = 159 × 83.16
  4. Step 4: Simplify right side
    106.08x = 13,222.44
  5. Step 5: Solve for x
    x = 13,222.44/106.08
  6. Step 6: Final answer
    x = 124.65

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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.