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Finding the Fourth Proportional to 115.69, 173.53 and 30.19

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Solution

The fourth proportional to 115.69, 173.53 and 30.19 is: 45.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.69 : 173.53 = 30.19 : x
  2. Step 2: Convert to fraction form
    115.69/173.53 = 30.19/x
  3. Step 3: Cross multiply
    115.69x = 173.53 × 30.19
  4. Step 4: Simplify right side
    115.69x = 5,238.47
  5. Step 5: Solve for x
    x = 5,238.47/115.69
  6. Step 6: Final answer
    x = 45.28

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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.