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Finding the Fourth Proportional to 154.07, 231.05 and 77.12

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Solution

The fourth proportional to 154.07, 231.05 and 77.12 is: 115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.07 : 231.05 = 77.12 : x
  2. Step 2: Convert to fraction form
    154.07/231.05 = 77.12/x
  3. Step 3: Cross multiply
    154.07x = 231.05 × 77.12
  4. Step 4: Simplify right side
    154.07x = 17,818.48
  5. Step 5: Solve for x
    x = 17,818.48/154.07
  6. Step 6: Final answer
    x = 115.65

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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.