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Finding the Fourth Proportional to 111.70, 154.05 and 105.22

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Solution

The fourth proportional to 111.70, 154.05 and 105.22 is: 145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.70 : 154.05 = 105.22 : x
  2. Step 2: Convert to fraction form
    111.70/154.05 = 105.22/x
  3. Step 3: Cross multiply
    111.70x = 154.05 × 105.22
  4. Step 4: Simplify right side
    111.70x = 16,209.14
  5. Step 5: Solve for x
    x = 16,209.14/111.70
  6. Step 6: Final answer
    x = 145.11

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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.