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Finding the Fourth Proportional to 111.53, 154.10 and 80.54

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Solution

The fourth proportional to 111.53, 154.10 and 80.54 is: 111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.53 : 154.10 = 80.54 : x
  2. Step 2: Convert to fraction form
    111.53/154.10 = 80.54/x
  3. Step 3: Cross multiply
    111.53x = 154.10 × 80.54
  4. Step 4: Simplify right side
    111.53x = 12,412.09
  5. Step 5: Solve for x
    x = 12,412.09/111.53
  6. Step 6: Final answer
    x = 111.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.