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Finding the Fourth Proportional to 154.55, 231.60 and 105.77

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Solution

The fourth proportional to 154.55, 231.60 and 105.77 is: 158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.55 : 231.60 = 105.77 : x
  2. Step 2: Convert to fraction form
    154.55/231.60 = 105.77/x
  3. Step 3: Cross multiply
    154.55x = 231.60 × 105.77
  4. Step 4: Simplify right side
    154.55x = 24,496.33
  5. Step 5: Solve for x
    x = 24,496.33/154.55
  6. Step 6: Final answer
    x = 158.50

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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.