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Finding the Fourth Proportional to 154.40, 213.12 and 110.80

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Solution

The fourth proportional to 154.40, 213.12 and 110.80 is: 152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.40 : 213.12 = 110.80 : x
  2. Step 2: Convert to fraction form
    154.40/213.12 = 110.80/x
  3. Step 3: Cross multiply
    154.40x = 213.12 × 110.80
  4. Step 4: Simplify right side
    154.40x = 23,613.70
  5. Step 5: Solve for x
    x = 23,613.70/154.40
  6. Step 6: Final answer
    x = 152.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.