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Finding the Fourth Proportional to 111.05, 153.06 and 77.86

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Solution

The fourth proportional to 111.05, 153.06 and 77.86 is: 107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.05 : 153.06 = 77.86 : x
  2. Step 2: Convert to fraction form
    111.05/153.06 = 77.86/x
  3. Step 3: Cross multiply
    111.05x = 153.06 × 77.86
  4. Step 4: Simplify right side
    111.05x = 11,917.80
  5. Step 5: Solve for x
    x = 11,917.80/111.05
  6. Step 6: Final answer
    x = 107.32

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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.