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Finding the Fourth Proportional to 115.23, 172.82 and 42.09

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Solution

The fourth proportional to 115.23, 172.82 and 42.09 is: 63.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.23 : 172.82 = 42.09 : x
  2. Step 2: Convert to fraction form
    115.23/172.82 = 42.09/x
  3. Step 3: Cross multiply
    115.23x = 172.82 × 42.09
  4. Step 4: Simplify right side
    115.23x = 7,272.92
  5. Step 5: Solve for x
    x = 7,272.92/115.23
  6. Step 6: Final answer
    x = 63.12

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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.