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Finding the Fourth Proportional to 144.03, 215.65 and 100.41

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Solution

The fourth proportional to 144.03, 215.65 and 100.41 is: 150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.03 : 215.65 = 100.41 : x
  2. Step 2: Convert to fraction form
    144.03/215.65 = 100.41/x
  3. Step 3: Cross multiply
    144.03x = 215.65 × 100.41
  4. Step 4: Simplify right side
    144.03x = 21,653.42
  5. Step 5: Solve for x
    x = 21,653.42/144.03
  6. Step 6: Final answer
    x = 150.34

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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.