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Finding the Fourth Proportional to 114.92, 172.49 and 54.11

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Solution

The fourth proportional to 114.92, 172.49 and 54.11 is: 81.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.92 : 172.49 = 54.11 : x
  2. Step 2: Convert to fraction form
    114.92/172.49 = 54.11/x
  3. Step 3: Cross multiply
    114.92x = 172.49 × 54.11
  4. Step 4: Simplify right side
    114.92x = 9,333.43
  5. Step 5: Solve for x
    x = 9,333.43/114.92
  6. Step 6: Final answer
    x = 81.22

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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.