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Finding the Fourth Proportional to 154.06, 231.12 and 77.10

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Solution

The fourth proportional to 154.06, 231.12 and 77.10 is: 115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.06 : 231.12 = 77.10 : x
  2. Step 2: Convert to fraction form
    154.06/231.12 = 77.10/x
  3. Step 3: Cross multiply
    154.06x = 231.12 × 77.10
  4. Step 4: Simplify right side
    154.06x = 17,819.35
  5. Step 5: Solve for x
    x = 17,819.35/154.06
  6. Step 6: Final answer
    x = 115.67

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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.