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Finding the Fourth Proportional to 110.88, 152.37 and 103.68

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Solution

The fourth proportional to 110.88, 152.37 and 103.68 is: 142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.88 : 152.37 = 103.68 : x
  2. Step 2: Convert to fraction form
    110.88/152.37 = 103.68/x
  3. Step 3: Cross multiply
    110.88x = 152.37 × 103.68
  4. Step 4: Simplify right side
    110.88x = 15,797.72
  5. Step 5: Solve for x
    x = 15,797.72/110.88
  6. Step 6: Final answer
    x = 142.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.