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Finding the Fourth Proportional to 111.92, 154.56 and 73.12

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Solution

The fourth proportional to 111.92, 154.56 and 73.12 is: 100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.92 : 154.56 = 73.12 : x
  2. Step 2: Convert to fraction form
    111.92/154.56 = 73.12/x
  3. Step 3: Cross multiply
    111.92x = 154.56 × 73.12
  4. Step 4: Simplify right side
    111.92x = 11,301.43
  5. Step 5: Solve for x
    x = 11,301.43/111.92
  6. Step 6: Final answer
    x = 100.98

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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.