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Finding the Fourth Proportional to 111.80, 154.14 and 85.88

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Solution

The fourth proportional to 111.80, 154.14 and 85.88 is: 118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.80 : 154.14 = 85.88 : x
  2. Step 2: Convert to fraction form
    111.80/154.14 = 85.88/x
  3. Step 3: Cross multiply
    111.80x = 154.14 × 85.88
  4. Step 4: Simplify right side
    111.80x = 13,237.54
  5. Step 5: Solve for x
    x = 13,237.54/111.80
  6. Step 6: Final answer
    x = 118.40

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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.