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Finding the Fourth Proportional to 144.23, 216.32 and 102.97

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Solution

The fourth proportional to 144.23, 216.32 and 102.97 is: 154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.23 : 216.32 = 102.97 : x
  2. Step 2: Convert to fraction form
    144.23/216.32 = 102.97/x
  3. Step 3: Cross multiply
    144.23x = 216.32 × 102.97
  4. Step 4: Simplify right side
    144.23x = 22,274.47
  5. Step 5: Solve for x
    x = 22,274.47/144.23
  6. Step 6: Final answer
    x = 154.44

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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.