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Finding the Fourth Proportional to 115.46, 172.94 and 54.50

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Solution

The fourth proportional to 115.46, 172.94 and 54.50 is: 81.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.46 : 172.94 = 54.50 : x
  2. Step 2: Convert to fraction form
    115.46/172.94 = 54.50/x
  3. Step 3: Cross multiply
    115.46x = 172.94 × 54.50
  4. Step 4: Simplify right side
    115.46x = 9,425.23
  5. Step 5: Solve for x
    x = 9,425.23/115.46
  6. Step 6: Final answer
    x = 81.63

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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.