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Finding the Fourth Proportional to 115.72, 173.79 and 113.95

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Solution

The fourth proportional to 115.72, 173.79 and 113.95 is: 171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.72 : 173.79 = 113.95 : x
  2. Step 2: Convert to fraction form
    115.72/173.79 = 113.95/x
  3. Step 3: Cross multiply
    115.72x = 173.79 × 113.95
  4. Step 4: Simplify right side
    115.72x = 19,803.37
  5. Step 5: Solve for x
    x = 19,803.37/115.72
  6. Step 6: Final answer
    x = 171.13

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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.