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Finding the Fourth Proportional to 115.77, 173.64 and 43.59

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Solution

The fourth proportional to 115.77, 173.64 and 43.59 is: 65.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.77 : 173.64 = 43.59 : x
  2. Step 2: Convert to fraction form
    115.77/173.64 = 43.59/x
  3. Step 3: Cross multiply
    115.77x = 173.64 × 43.59
  4. Step 4: Simplify right side
    115.77x = 7,568.97
  5. Step 5: Solve for x
    x = 7,568.97/115.77
  6. Step 6: Final answer
    x = 65.38

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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.