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Finding the Fourth Proportional to 112.36, 155.02 and 77.33

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Solution

The fourth proportional to 112.36, 155.02 and 77.33 is: 106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.36 : 155.02 = 77.33 : x
  2. Step 2: Convert to fraction form
    112.36/155.02 = 77.33/x
  3. Step 3: Cross multiply
    112.36x = 155.02 × 77.33
  4. Step 4: Simplify right side
    112.36x = 11,987.70
  5. Step 5: Solve for x
    x = 11,987.70/112.36
  6. Step 6: Final answer
    x = 106.69

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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.