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Finding the Fourth Proportional to 115.93, 173.48 and 109.01

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Solution

The fourth proportional to 115.93, 173.48 and 109.01 is: 163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.93 : 173.48 = 109.01 : x
  2. Step 2: Convert to fraction form
    115.93/173.48 = 109.01/x
  3. Step 3: Cross multiply
    115.93x = 173.48 × 109.01
  4. Step 4: Simplify right side
    115.93x = 18,911.05
  5. Step 5: Solve for x
    x = 18,911.05/115.93
  6. Step 6: Final answer
    x = 163.12

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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.