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Finding the Fourth Proportional to 154.35, 231.18 and 85.80

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Solution

The fourth proportional to 154.35, 231.18 and 85.80 is: 128.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.35 : 231.18 = 85.80 : x
  2. Step 2: Convert to fraction form
    154.35/231.18 = 85.80/x
  3. Step 3: Cross multiply
    154.35x = 231.18 × 85.80
  4. Step 4: Simplify right side
    154.35x = 19,835.24
  5. Step 5: Solve for x
    x = 19,835.24/154.35
  6. Step 6: Final answer
    x = 128.51

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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.