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Finding the Fourth Proportional to 115.23, 173.21 and 106.59

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Solution

The fourth proportional to 115.23, 173.21 and 106.59 is: 160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.23 : 173.21 = 106.59 : x
  2. Step 2: Convert to fraction form
    115.23/173.21 = 106.59/x
  3. Step 3: Cross multiply
    115.23x = 173.21 × 106.59
  4. Step 4: Simplify right side
    115.23x = 18,461.92
  5. Step 5: Solve for x
    x = 18,461.92/115.23
  6. Step 6: Final answer
    x = 160.22

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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.