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Finding the Fourth Proportional to 111.92, 154.44 and 75.08

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Solution

The fourth proportional to 111.92, 154.44 and 75.08 is: 103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.92 : 154.44 = 75.08 : x
  2. Step 2: Convert to fraction form
    111.92/154.44 = 75.08/x
  3. Step 3: Cross multiply
    111.92x = 154.44 × 75.08
  4. Step 4: Simplify right side
    111.92x = 11,595.36
  5. Step 5: Solve for x
    x = 11,595.36/111.92
  6. Step 6: Final answer
    x = 103.60

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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.