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Finding the Fourth Proportional to 111.52, 154.16 and 102.88

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Solution

The fourth proportional to 111.52, 154.16 and 102.88 is: 142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.52 : 154.16 = 102.88 : x
  2. Step 2: Convert to fraction form
    111.52/154.16 = 102.88/x
  3. Step 3: Cross multiply
    111.52x = 154.16 × 102.88
  4. Step 4: Simplify right side
    111.52x = 15,859.98
  5. Step 5: Solve for x
    x = 15,859.98/111.52
  6. Step 6: Final answer
    x = 142.22

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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.