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Finding the Fourth Proportional to 154.48, 213.32 and 102.80

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Solution

The fourth proportional to 154.48, 213.32 and 102.80 is: 141.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.48 : 213.32 = 102.80 : x
  2. Step 2: Convert to fraction form
    154.48/213.32 = 102.80/x
  3. Step 3: Cross multiply
    154.48x = 213.32 × 102.80
  4. Step 4: Simplify right side
    154.48x = 21,929.30
  5. Step 5: Solve for x
    x = 21,929.30/154.48
  6. Step 6: Final answer
    x = 141.96

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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.