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Finding the Fourth Proportional to 112.37, 154.94 and 105.08

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Solution

The fourth proportional to 112.37, 154.94 and 105.08 is: 144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.37 : 154.94 = 105.08 : x
  2. Step 2: Convert to fraction form
    112.37/154.94 = 105.08/x
  3. Step 3: Cross multiply
    112.37x = 154.94 × 105.08
  4. Step 4: Simplify right side
    112.37x = 16,279.80
  5. Step 5: Solve for x
    x = 16,279.80/112.37
  6. Step 6: Final answer
    x = 144.88

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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.