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Finding the Fourth Proportional to 144.54, 215.75 and 120.12

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Solution

The fourth proportional to 144.54, 215.75 and 120.12 is: 179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.54 : 215.75 = 120.12 : x
  2. Step 2: Convert to fraction form
    144.54/215.75 = 120.12/x
  3. Step 3: Cross multiply
    144.54x = 215.75 × 120.12
  4. Step 4: Simplify right side
    144.54x = 25,915.29
  5. Step 5: Solve for x
    x = 25,915.29/144.54
  6. Step 6: Final answer
    x = 179.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.