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Finding the Fourth Proportional to 105.04, 144.10 and 102.20

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Solution

The fourth proportional to 105.04, 144.10 and 102.20 is: 140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.04 : 144.10 = 102.20 : x
  2. Step 2: Convert to fraction form
    105.04/144.10 = 102.20/x
  3. Step 3: Cross multiply
    105.04x = 144.10 × 102.20
  4. Step 4: Simplify right side
    105.04x = 14,726.30
  5. Step 5: Solve for x
    x = 14,726.30/105.04
  6. Step 6: Final answer
    x = 140.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.