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Finding the Fourth Proportional to 115.03, 172.53 and 33.86

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Solution

The fourth proportional to 115.03, 172.53 and 33.86 is: 50.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.03 : 172.53 = 33.86 : x
  2. Step 2: Convert to fraction form
    115.03/172.53 = 33.86/x
  3. Step 3: Cross multiply
    115.03x = 172.53 × 33.86
  4. Step 4: Simplify right side
    115.03x = 5,841.08
  5. Step 5: Solve for x
    x = 5,841.08/115.03
  6. Step 6: Final answer
    x = 50.78

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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.