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Finding the Fourth Proportional to 154.36, 231.57 and 77.34

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Solution

The fourth proportional to 154.36, 231.57 and 77.34 is: 116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.36 : 231.57 = 77.34 : x
  2. Step 2: Convert to fraction form
    154.36/231.57 = 77.34/x
  3. Step 3: Cross multiply
    154.36x = 231.57 × 77.34
  4. Step 4: Simplify right side
    154.36x = 17,909.62
  5. Step 5: Solve for x
    x = 17,909.62/154.36
  6. Step 6: Final answer
    x = 116.03

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