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Finding the Fourth Proportional to 154.14, 230.98 and 105.27

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Solution

The fourth proportional to 154.14, 230.98 and 105.27 is: 157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.14 : 230.98 = 105.27 : x
  2. Step 2: Convert to fraction form
    154.14/230.98 = 105.27/x
  3. Step 3: Cross multiply
    154.14x = 230.98 × 105.27
  4. Step 4: Simplify right side
    154.14x = 24,315.26
  5. Step 5: Solve for x
    x = 24,315.26/154.14
  6. Step 6: Final answer
    x = 157.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.