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Finding the Fourth Proportional to 154.70, 231.70 and 77.72

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Solution

The fourth proportional to 154.70, 231.70 and 77.72 is: 116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.70 : 231.70 = 77.72 : x
  2. Step 2: Convert to fraction form
    154.70/231.70 = 77.72/x
  3. Step 3: Cross multiply
    154.70x = 231.70 × 77.72
  4. Step 4: Simplify right side
    154.70x = 18,007.72
  5. Step 5: Solve for x
    x = 18,007.72/154.70
  6. Step 6: Final answer
    x = 116.40

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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.