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Finding the Fourth Proportional to 111.87, 154.16 and 77.31

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Solution

The fourth proportional to 111.87, 154.16 and 77.31 is: 106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.87 : 154.16 = 77.31 : x
  2. Step 2: Convert to fraction form
    111.87/154.16 = 77.31/x
  3. Step 3: Cross multiply
    111.87x = 154.16 × 77.31
  4. Step 4: Simplify right side
    111.87x = 11,917.72
  5. Step 5: Solve for x
    x = 11,917.72/111.87
  6. Step 6: Final answer
    x = 106.53

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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.