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Finding the Fourth Proportional to 111.07, 153.16 and 77.91

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Solution

The fourth proportional to 111.07, 153.16 and 77.91 is: 107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.07 : 153.16 = 77.91 : x
  2. Step 2: Convert to fraction form
    111.07/153.16 = 77.91/x
  3. Step 3: Cross multiply
    111.07x = 153.16 × 77.91
  4. Step 4: Simplify right side
    111.07x = 11,932.70
  5. Step 5: Solve for x
    x = 11,932.70/111.07
  6. Step 6: Final answer
    x = 107.43

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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.