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Finding the Fourth Proportional to 115.11, 172.64 and 33.93

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Solution

The fourth proportional to 115.11, 172.64 and 33.93 is: 50.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.11 : 172.64 = 33.93 : x
  2. Step 2: Convert to fraction form
    115.11/172.64 = 33.93/x
  3. Step 3: Cross multiply
    115.11x = 172.64 × 33.93
  4. Step 4: Simplify right side
    115.11x = 5,857.76
  5. Step 5: Solve for x
    x = 5,857.76/115.11
  6. Step 6: Final answer
    x = 50.89

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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.