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Finding the Fourth Proportional to 173.56, 260.10 and 109.32

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Solution

The fourth proportional to 173.56, 260.10 and 109.32 is: 163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.56 : 260.10 = 109.32 : x
  2. Step 2: Convert to fraction form
    173.56/260.10 = 109.32/x
  3. Step 3: Cross multiply
    173.56x = 260.10 × 109.32
  4. Step 4: Simplify right side
    173.56x = 28,434.13
  5. Step 5: Solve for x
    x = 28,434.13/173.56
  6. Step 6: Final answer
    x = 163.83

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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.