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Finding the Fourth Proportional to 111.13, 153.37 and 83.63

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Solution

The fourth proportional to 111.13, 153.37 and 83.63 is: 115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.13 : 153.37 = 83.63 : x
  2. Step 2: Convert to fraction form
    111.13/153.37 = 83.63/x
  3. Step 3: Cross multiply
    111.13x = 153.37 × 83.63
  4. Step 4: Simplify right side
    111.13x = 12,826.33
  5. Step 5: Solve for x
    x = 12,826.33/111.13
  6. Step 6: Final answer
    x = 115.42

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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.