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Finding the Fourth Proportional to 115.44, 173.24 and 47.02

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Solution

The fourth proportional to 115.44, 173.24 and 47.02 is: 70.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.44 : 173.24 = 47.02 : x
  2. Step 2: Convert to fraction form
    115.44/173.24 = 47.02/x
  3. Step 3: Cross multiply
    115.44x = 173.24 × 47.02
  4. Step 4: Simplify right side
    115.44x = 8,145.74
  5. Step 5: Solve for x
    x = 8,145.74/115.44
  6. Step 6: Final answer
    x = 70.56

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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.