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Finding the Fourth Proportional to 106.57, 159.83 and 72.55

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Solution

The fourth proportional to 106.57, 159.83 and 72.55 is: 108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.57 : 159.83 = 72.55 : x
  2. Step 2: Convert to fraction form
    106.57/159.83 = 72.55/x
  3. Step 3: Cross multiply
    106.57x = 159.83 × 72.55
  4. Step 4: Simplify right side
    106.57x = 11,595.45
  5. Step 5: Solve for x
    x = 11,595.45/106.57
  6. Step 6: Final answer
    x = 108.81

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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.