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Finding the Fourth Proportional to 153.83, 212.14 and 104.62

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Solution

The fourth proportional to 153.83, 212.14 and 104.62 is: 144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.83 : 212.14 = 104.62 : x
  2. Step 2: Convert to fraction form
    153.83/212.14 = 104.62/x
  3. Step 3: Cross multiply
    153.83x = 212.14 × 104.62
  4. Step 4: Simplify right side
    153.83x = 22,193.56
  5. Step 5: Solve for x
    x = 22,193.56/153.83
  6. Step 6: Final answer
    x = 144.28

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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.