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Finding the Fourth Proportional to 115.50, 174.24 and 111.30

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Solution

The fourth proportional to 115.50, 174.24 and 111.30 is: 167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.50 : 174.24 = 111.30 : x
  2. Step 2: Convert to fraction form
    115.50/174.24 = 111.30/x
  3. Step 3: Cross multiply
    115.50x = 174.24 × 111.30
  4. Step 4: Simplify right side
    115.50x = 19,392.91
  5. Step 5: Solve for x
    x = 19,392.91/115.50
  6. Step 6: Final answer
    x = 167.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.