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Finding the Fourth Proportional to 115.66, 173.51 and 34.50

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Solution

The fourth proportional to 115.66, 173.51 and 34.50 is: 51.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.66 : 173.51 = 34.50 : x
  2. Step 2: Convert to fraction form
    115.66/173.51 = 34.50/x
  3. Step 3: Cross multiply
    115.66x = 173.51 × 34.50
  4. Step 4: Simplify right side
    115.66x = 5,986.10
  5. Step 5: Solve for x
    x = 5,986.10/115.66
  6. Step 6: Final answer
    x = 51.76

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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.