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Finding the Fourth Proportional to 154.08, 230.80 and 105.76

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Solution

The fourth proportional to 154.08, 230.80 and 105.76 is: 158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.08 : 230.80 = 105.76 : x
  2. Step 2: Convert to fraction form
    154.08/230.80 = 105.76/x
  3. Step 3: Cross multiply
    154.08x = 230.80 × 105.76
  4. Step 4: Simplify right side
    154.08x = 24,409.41
  5. Step 5: Solve for x
    x = 24,409.41/154.08
  6. Step 6: Final answer
    x = 158.42

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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.